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Finding the Fourth Proportional to 6,588.65, 9,869.14 and 4,498.87

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Solution

The fourth proportional to 6,588.65, 9,869.14 and 4,498.87 is: 6,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.65 : 9,869.14 = 4,498.87 : x
  2. Step 2: Convert to fraction form
    6,588.65/9,869.14 = 4,498.87/x
  3. Step 3: Cross multiply
    6,588.65x = 9,869.14 × 4,498.87
  4. Step 4: Simplify right side
    6,588.65x = 44,399,977.87
  5. Step 5: Solve for x
    x = 44,399,977.87/6,588.65
  6. Step 6: Final answer
    x = 6,738.86

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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.