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Finding the Fourth Proportional to 8,073.92, 12,113.40 and 4,780.16

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Solution

The fourth proportional to 8,073.92, 12,113.40 and 4,780.16 is: 7,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.92 : 12,113.40 = 4,780.16 : x
  2. Step 2: Convert to fraction form
    8,073.92/12,113.40 = 4,780.16/x
  3. Step 3: Cross multiply
    8,073.92x = 12,113.40 × 4,780.16
  4. Step 4: Simplify right side
    8,073.92x = 57,903,990.14
  5. Step 5: Solve for x
    x = 57,903,990.14/8,073.92
  6. Step 6: Final answer
    x = 7,171.73

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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.