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Finding the Fourth Proportional to 11,409, 15,744.77 and 6,373.44

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Solution

The fourth proportional to 11,409, 15,744.77 and 6,373.44 is: 8,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409 : 15,744.77 = 6,373.44 : x
  2. Step 2: Convert to fraction form
    11,409/15,744.77 = 6,373.44/x
  3. Step 3: Cross multiply
    11,409x = 15,744.77 × 6,373.44
  4. Step 4: Simplify right side
    11,409x = 100,348,315.04
  5. Step 5: Solve for x
    x = 100,348,315.04/11,409
  6. Step 6: Final answer
    x = 8,795.54

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.