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Finding the Fourth Proportional to 6,358.48, 8,775.24 and 3,706.12

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Solution

The fourth proportional to 6,358.48, 8,775.24 and 3,706.12 is: 5,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.48 : 8,775.24 = 3,706.12 : x
  2. Step 2: Convert to fraction form
    6,358.48/8,775.24 = 3,706.12/x
  3. Step 3: Cross multiply
    6,358.48x = 8,775.24 × 3,706.12
  4. Step 4: Simplify right side
    6,358.48x = 32,522,092.47
  5. Step 5: Solve for x
    x = 32,522,092.47/6,358.48
  6. Step 6: Final answer
    x = 5,114.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.