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Finding the Fourth Proportional to 6,562.80, 9,824.85 and 4,337.55

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Solution

The fourth proportional to 6,562.80, 9,824.85 and 4,337.55 is: 6,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.80 : 9,824.85 = 4,337.55 : x
  2. Step 2: Convert to fraction form
    6,562.80/9,824.85 = 4,337.55/x
  3. Step 3: Cross multiply
    6,562.80x = 9,824.85 × 4,337.55
  4. Step 4: Simplify right side
    6,562.80x = 42,615,778.12
  5. Step 5: Solve for x
    x = 42,615,778.12/6,562.80
  6. Step 6: Final answer
    x = 6,493.54

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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.