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Finding the Fourth Proportional to 16,538.52, 24,807.78 and 6,406.68

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Solution

The fourth proportional to 16,538.52, 24,807.78 and 6,406.68 is: 9,610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.52 : 24,807.78 = 6,406.68 : x
  2. Step 2: Convert to fraction form
    16,538.52/24,807.78 = 6,406.68/x
  3. Step 3: Cross multiply
    16,538.52x = 24,807.78 × 6,406.68
  4. Step 4: Simplify right side
    16,538.52x = 158,935,507.97
  5. Step 5: Solve for x
    x = 158,935,507.97/16,538.52
  6. Step 6: Final answer
    x = 9,610.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.