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Finding the Fourth Proportional to 8,510.84, 12,760.11 and 5,730.62

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Solution

The fourth proportional to 8,510.84, 12,760.11 and 5,730.62 is: 8,591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.84 : 12,760.11 = 5,730.62 : x
  2. Step 2: Convert to fraction form
    8,510.84/12,760.11 = 5,730.62/x
  3. Step 3: Cross multiply
    8,510.84x = 12,760.11 × 5,730.62
  4. Step 4: Simplify right side
    8,510.84x = 73,123,341.57
  5. Step 5: Solve for x
    x = 73,123,341.57/8,510.84
  6. Step 6: Final answer
    x = 8,591.79

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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.