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Finding the Fourth Proportional to 8,312.11, 12,470.22 and 2,468.71

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Solution

The fourth proportional to 8,312.11, 12,470.22 and 2,468.71 is: 3,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.11 : 12,470.22 = 2,468.71 : x
  2. Step 2: Convert to fraction form
    8,312.11/12,470.22 = 2,468.71/x
  3. Step 3: Cross multiply
    8,312.11x = 12,470.22 × 2,468.71
  4. Step 4: Simplify right side
    8,312.11x = 30,785,356.82
  5. Step 5: Solve for x
    x = 30,785,356.82/8,312.11
  6. Step 6: Final answer
    x = 3,703.68

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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.