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Finding the Fourth Proportional to 16,585.56, 22,892.88 and 9,875.88

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Solution

The fourth proportional to 16,585.56, 22,892.88 and 9,875.88 is: 13,631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.56 : 22,892.88 = 9,875.88 : x
  2. Step 2: Convert to fraction form
    16,585.56/22,892.88 = 9,875.88/x
  3. Step 3: Cross multiply
    16,585.56x = 22,892.88 × 9,875.88
  4. Step 4: Simplify right side
    16,585.56x = 226,087,335.73
  5. Step 5: Solve for x
    x = 226,087,335.73/16,585.56
  6. Step 6: Final answer
    x = 13,631.58

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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.