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Finding the Fourth Proportional to 6,584.48, 9,863.76 and 5,037.92

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Solution

The fourth proportional to 6,584.48, 9,863.76 and 5,037.92 is: 7,546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.48 : 9,863.76 = 5,037.92 : x
  2. Step 2: Convert to fraction form
    6,584.48/9,863.76 = 5,037.92/x
  3. Step 3: Cross multiply
    6,584.48x = 9,863.76 × 5,037.92
  4. Step 4: Simplify right side
    6,584.48x = 49,692,833.78
  5. Step 5: Solve for x
    x = 49,692,833.78/6,584.48
  6. Step 6: Final answer
    x = 7,546.96

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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.