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Finding the Fourth Proportional to 16,574.13, 22,865.49 and 9,496.62

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Solution

The fourth proportional to 16,574.13, 22,865.49 and 9,496.62 is: 13,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.13 : 22,865.49 = 9,496.62 : x
  2. Step 2: Convert to fraction form
    16,574.13/22,865.49 = 9,496.62/x
  3. Step 3: Cross multiply
    16,574.13x = 22,865.49 × 9,496.62
  4. Step 4: Simplify right side
    16,574.13x = 217,144,869.64
  5. Step 5: Solve for x
    x = 217,144,869.64/16,574.13
  6. Step 6: Final answer
    x = 13,101.43

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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.