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Finding the Fourth Proportional to 16,575.25, 24,864.09 and 6,187

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Solution

The fourth proportional to 16,575.25, 24,864.09 and 6,187 is: 9,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575.25 : 24,864.09 = 6,187 : x
  2. Step 2: Convert to fraction form
    16,575.25/24,864.09 = 6,187/x
  3. Step 3: Cross multiply
    16,575.25x = 24,864.09 × 6,187
  4. Step 4: Simplify right side
    16,575.25x = 153,834,124.83
  5. Step 5: Solve for x
    x = 153,834,124.83/16,575.25
  6. Step 6: Final answer
    x = 9,280.95

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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.