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Finding the Fourth Proportional to 15,965.48, 22,032.52 and 8,892.04

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Solution

The fourth proportional to 15,965.48, 22,032.52 and 8,892.04 is: 12,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.48 : 22,032.52 = 8,892.04 : x
  2. Step 2: Convert to fraction form
    15,965.48/22,032.52 = 8,892.04/x
  3. Step 3: Cross multiply
    15,965.48x = 22,032.52 × 8,892.04
  4. Step 4: Simplify right side
    15,965.48x = 195,914,049.14
  5. Step 5: Solve for x
    x = 195,914,049.14/15,965.48
  6. Step 6: Final answer
    x = 12,271.10

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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.