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Finding the Fourth Proportional to 6,375.28, 9,543.12 and 4,037.68

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Solution

The fourth proportional to 6,375.28, 9,543.12 and 4,037.68 is: 6,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.28 : 9,543.12 = 4,037.68 : x
  2. Step 2: Convert to fraction form
    6,375.28/9,543.12 = 4,037.68/x
  3. Step 3: Cross multiply
    6,375.28x = 9,543.12 × 4,037.68
  4. Step 4: Simplify right side
    6,375.28x = 38,532,064.76
  5. Step 5: Solve for x
    x = 38,532,064.76/6,375.28
  6. Step 6: Final answer
    x = 6,043.98

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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.