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Finding the Fourth Proportional to 6,588.80, 9,883.20 and 1,658.52

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Solution

The fourth proportional to 6,588.80, 9,883.20 and 1,658.52 is: 2,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.80 : 9,883.20 = 1,658.52 : x
  2. Step 2: Convert to fraction form
    6,588.80/9,883.20 = 1,658.52/x
  3. Step 3: Cross multiply
    6,588.80x = 9,883.20 × 1,658.52
  4. Step 4: Simplify right side
    6,588.80x = 16,391,484.86
  5. Step 5: Solve for x
    x = 16,391,484.86/6,588.80
  6. Step 6: Final answer
    x = 2,487.78

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Similar ratio
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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.