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Finding the Fourth Proportional to 16,637.65, 22,961.97 and 9,469.31

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Solution

The fourth proportional to 16,637.65, 22,961.97 and 9,469.31 is: 13,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,637.65 : 22,961.97 = 9,469.31 : x
  2. Step 2: Convert to fraction form
    16,637.65/22,961.97 = 9,469.31/x
  3. Step 3: Cross multiply
    16,637.65x = 22,961.97 × 9,469.31
  4. Step 4: Simplify right side
    16,637.65x = 217,434,053.12
  5. Step 5: Solve for x
    x = 217,434,053.12/16,637.65
  6. Step 6: Final answer
    x = 13,068.80

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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.