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Finding the Fourth Proportional to 8,313.84, 12,471.03 and 2,470.91

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Solution

The fourth proportional to 8,313.84, 12,471.03 and 2,470.91 is: 3,706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.84 : 12,471.03 = 2,470.91 : x
  2. Step 2: Convert to fraction form
    8,313.84/12,471.03 = 2,470.91/x
  3. Step 3: Cross multiply
    8,313.84x = 12,471.03 × 2,470.91
  4. Step 4: Simplify right side
    8,313.84x = 30,814,730.38
  5. Step 5: Solve for x
    x = 30,814,730.38/8,313.84
  6. Step 6: Final answer
    x = 3,706.44

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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.