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Finding the Fourth Proportional to 8,942.50, 12,340.65 and 5,798.71

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Solution

The fourth proportional to 8,942.50, 12,340.65 and 5,798.71 is: 8,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.50 : 12,340.65 = 5,798.71 : x
  2. Step 2: Convert to fraction form
    8,942.50/12,340.65 = 5,798.71/x
  3. Step 3: Cross multiply
    8,942.50x = 12,340.65 × 5,798.71
  4. Step 4: Simplify right side
    8,942.50x = 71,559,850.56
  5. Step 5: Solve for x
    x = 71,559,850.56/8,942.50
  6. Step 6: Final answer
    x = 8,002.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.