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Finding the Fourth Proportional to 6,397.70, 9,596.55 and 3,117.20

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Solution

The fourth proportional to 6,397.70, 9,596.55 and 3,117.20 is: 4,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.70 : 9,596.55 = 3,117.20 : x
  2. Step 2: Convert to fraction form
    6,397.70/9,596.55 = 3,117.20/x
  3. Step 3: Cross multiply
    6,397.70x = 9,596.55 × 3,117.20
  4. Step 4: Simplify right side
    6,397.70x = 29,914,365.66
  5. Step 5: Solve for x
    x = 29,914,365.66/6,397.70
  6. Step 6: Final answer
    x = 4,675.80

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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.