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Finding the Fourth Proportional to 6,588.67, 9,882.27 and 1,658.31

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Solution

The fourth proportional to 6,588.67, 9,882.27 and 1,658.31 is: 2,487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.67 : 9,882.27 = 1,658.31 : x
  2. Step 2: Convert to fraction form
    6,588.67/9,882.27 = 1,658.31/x
  3. Step 3: Cross multiply
    6,588.67x = 9,882.27 × 1,658.31
  4. Step 4: Simplify right side
    6,588.67x = 16,387,867.16
  5. Step 5: Solve for x
    x = 16,387,867.16/6,588.67
  6. Step 6: Final answer
    x = 2,487.28

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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.