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Finding the Fourth Proportional to 16,646.57, 22,972.94 and 9,572.99

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Solution

The fourth proportional to 16,646.57, 22,972.94 and 9,572.99 is: 13,211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.57 : 22,972.94 = 9,572.99 : x
  2. Step 2: Convert to fraction form
    16,646.57/22,972.94 = 9,572.99/x
  3. Step 3: Cross multiply
    16,646.57x = 22,972.94 × 9,572.99
  4. Step 4: Simplify right side
    16,646.57x = 219,919,633.96
  5. Step 5: Solve for x
    x = 219,919,633.96/16,646.57
  6. Step 6: Final answer
    x = 13,211.11

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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.