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Finding the Fourth Proportional to 6,452.70, 9,657.45 and 4,508.70

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Solution

The fourth proportional to 6,452.70, 9,657.45 and 4,508.70 is: 6,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.70 : 9,657.45 = 4,508.70 : x
  2. Step 2: Convert to fraction form
    6,452.70/9,657.45 = 4,508.70/x
  3. Step 3: Cross multiply
    6,452.70x = 9,657.45 × 4,508.70
  4. Step 4: Simplify right side
    6,452.70x = 43,542,544.82
  5. Step 5: Solve for x
    x = 43,542,544.82/6,452.70
  6. Step 6: Final answer
    x = 6,747.96

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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.