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Finding the Fourth Proportional to 16,607.86, 22,914.21 and 9,531.70

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Solution

The fourth proportional to 16,607.86, 22,914.21 and 9,531.70 is: 13,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,607.86 : 22,914.21 = 9,531.70 : x
  2. Step 2: Convert to fraction form
    16,607.86/22,914.21 = 9,531.70/x
  3. Step 3: Cross multiply
    16,607.86x = 22,914.21 × 9,531.70
  4. Step 4: Simplify right side
    16,607.86x = 218,411,375.46
  5. Step 5: Solve for x
    x = 218,411,375.46/16,607.86
  6. Step 6: Final answer
    x = 13,151.08

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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.