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Finding the Fourth Proportional to 6,587.65, 9,867.64 and 4,497.87

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Solution

The fourth proportional to 6,587.65, 9,867.64 and 4,497.87 is: 6,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.65 : 9,867.64 = 4,497.87 : x
  2. Step 2: Convert to fraction form
    6,587.65/9,867.64 = 4,497.87/x
  3. Step 3: Cross multiply
    6,587.65x = 9,867.64 × 4,497.87
  4. Step 4: Simplify right side
    6,587.65x = 44,383,398.67
  5. Step 5: Solve for x
    x = 44,383,398.67/6,587.65
  6. Step 6: Final answer
    x = 6,737.36

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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.