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Finding the Fourth Proportional to 6,338.24, 8,747.20 and 3,543.76

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Solution

The fourth proportional to 6,338.24, 8,747.20 and 3,543.76 is: 4,890.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.24 : 8,747.20 = 3,543.76 : x
  2. Step 2: Convert to fraction form
    6,338.24/8,747.20 = 3,543.76/x
  3. Step 3: Cross multiply
    6,338.24x = 8,747.20 × 3,543.76
  4. Step 4: Simplify right side
    6,338.24x = 30,997,977.47
  5. Step 5: Solve for x
    x = 30,997,977.47/6,338.24
  6. Step 6: Final answer
    x = 4,890.63

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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.