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Finding the Fourth Proportional to 15,489.92, 21,376.08 and 9,202.29

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Solution

The fourth proportional to 15,489.92, 21,376.08 and 9,202.29 is: 12,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,489.92 : 21,376.08 = 9,202.29 : x
  2. Step 2: Convert to fraction form
    15,489.92/21,376.08 = 9,202.29/x
  3. Step 3: Cross multiply
    15,489.92x = 21,376.08 × 9,202.29
  4. Step 4: Simplify right side
    15,489.92x = 196,708,927.30
  5. Step 5: Solve for x
    x = 196,708,927.30/15,489.92
  6. Step 6: Final answer
    x = 12,699.16

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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.