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Finding the Fourth Proportional to 16,615.13, 22,927.61 and 9,543.83

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Solution

The fourth proportional to 16,615.13, 22,927.61 and 9,543.83 is: 13,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,615.13 : 22,927.61 = 9,543.83 : x
  2. Step 2: Convert to fraction form
    16,615.13/22,927.61 = 9,543.83/x
  3. Step 3: Cross multiply
    16,615.13x = 22,927.61 × 9,543.83
  4. Step 4: Simplify right side
    16,615.13x = 218,817,164.43
  5. Step 5: Solve for x
    x = 218,817,164.43/16,615.13
  6. Step 6: Final answer
    x = 13,169.75

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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.