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Finding the Fourth Proportional to 17,409, 24,024.08 and 9,856.76

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Solution

The fourth proportional to 17,409, 24,024.08 and 9,856.76 is: 13,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409 : 24,024.08 = 9,856.76 : x
  2. Step 2: Convert to fraction form
    17,409/24,024.08 = 9,856.76/x
  3. Step 3: Cross multiply
    17,409x = 24,024.08 × 9,856.76
  4. Step 4: Simplify right side
    17,409x = 236,799,675.48
  5. Step 5: Solve for x
    x = 236,799,675.48/17,409
  6. Step 6: Final answer
    x = 13,602.14

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Half scale
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Double scale
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Similar ratio
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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.