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Finding the Fourth Proportional to 16,640.93, 22,966.79 and 9,567.20

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Solution

The fourth proportional to 16,640.93, 22,966.79 and 9,567.20 is: 13,204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,640.93 : 22,966.79 = 9,567.20 : x
  2. Step 2: Convert to fraction form
    16,640.93/22,966.79 = 9,567.20/x
  3. Step 3: Cross multiply
    16,640.93x = 22,966.79 × 9,567.20
  4. Step 4: Simplify right side
    16,640.93x = 219,727,710.62
  5. Step 5: Solve for x
    x = 219,727,710.62/16,640.93
  6. Step 6: Final answer
    x = 13,204.06

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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.