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Finding the Fourth Proportional to 6,442.68, 9,657.60 and 3,324.18

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Solution

The fourth proportional to 6,442.68, 9,657.60 and 3,324.18 is: 4,982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.68 : 9,657.60 = 3,324.18 : x
  2. Step 2: Convert to fraction form
    6,442.68/9,657.60 = 3,324.18/x
  3. Step 3: Cross multiply
    6,442.68x = 9,657.60 × 3,324.18
  4. Step 4: Simplify right side
    6,442.68x = 32,103,600.77
  5. Step 5: Solve for x
    x = 32,103,600.77/6,442.68
  6. Step 6: Final answer
    x = 4,982.96

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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.