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Finding the Fourth Proportional to 16,591.76, 22,894.08 and 9,875.12

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Solution

The fourth proportional to 16,591.76, 22,894.08 and 9,875.12 is: 13,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.76 : 22,894.08 = 9,875.12 : x
  2. Step 2: Convert to fraction form
    16,591.76/22,894.08 = 9,875.12/x
  3. Step 3: Cross multiply
    16,591.76x = 22,894.08 × 9,875.12
  4. Step 4: Simplify right side
    16,591.76x = 226,081,787.29
  5. Step 5: Solve for x
    x = 226,081,787.29/16,591.76
  6. Step 6: Final answer
    x = 13,626.15

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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.