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Finding the Fourth Proportional to 23,409, 35,116.47 and 8,628.24

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Solution

The fourth proportional to 23,409, 35,116.47 and 8,628.24 is: 12,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409 : 35,116.47 = 8,628.24 : x
  2. Step 2: Convert to fraction form
    23,409/35,116.47 = 8,628.24/x
  3. Step 3: Cross multiply
    23,409x = 35,116.47 × 8,628.24
  4. Step 4: Simplify right side
    23,409x = 302,993,331.11
  5. Step 5: Solve for x
    x = 302,993,331.11/23,409
  6. Step 6: Final answer
    x = 12,943.45

Related Problems

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Half scale
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Double scale
Find fourth proportional to 23,410, 35,117.97 and 8,629.24
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.