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Finding the Fourth Proportional to 8,037.52, 12,039 and 7,948.96

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Solution

The fourth proportional to 8,037.52, 12,039 and 7,948.96 is: 11,906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.52 : 12,039 = 7,948.96 : x
  2. Step 2: Convert to fraction form
    8,037.52/12,039 = 7,948.96/x
  3. Step 3: Cross multiply
    8,037.52x = 12,039 × 7,948.96
  4. Step 4: Simplify right side
    8,037.52x = 95,697,529.44
  5. Step 5: Solve for x
    x = 95,697,529.44/8,037.52
  6. Step 6: Final answer
    x = 11,906.35

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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.