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Finding the Fourth Proportional to 16,009.92, 24,001.92 and 6,147.36

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Solution

The fourth proportional to 16,009.92, 24,001.92 and 6,147.36 is: 9,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.92 : 24,001.92 = 6,147.36 : x
  2. Step 2: Convert to fraction form
    16,009.92/24,001.92 = 6,147.36/x
  3. Step 3: Cross multiply
    16,009.92x = 24,001.92 × 6,147.36
  4. Step 4: Simplify right side
    16,009.92x = 147,548,442.93
  5. Step 5: Solve for x
    x = 147,548,442.93/16,009.92
  6. Step 6: Final answer
    x = 9,216.06

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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.