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Finding the Fourth Proportional to 15,842.16, 21,862.71 and 9,468.54

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Solution

The fourth proportional to 15,842.16, 21,862.71 and 9,468.54 is: 13,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.16 : 21,862.71 = 9,468.54 : x
  2. Step 2: Convert to fraction form
    15,842.16/21,862.71 = 9,468.54/x
  3. Step 3: Cross multiply
    15,842.16x = 21,862.71 × 9,468.54
  4. Step 4: Simplify right side
    15,842.16x = 207,007,944.14
  5. Step 5: Solve for x
    x = 207,007,944.14/15,842.16
  6. Step 6: Final answer
    x = 13,066.90

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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.