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Finding the Fourth Proportional to 8,299.10, 11,463.94 and 7,708.61

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Solution

The fourth proportional to 8,299.10, 11,463.94 and 7,708.61 is: 10,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.10 : 11,463.94 = 7,708.61 : x
  2. Step 2: Convert to fraction form
    8,299.10/11,463.94 = 7,708.61/x
  3. Step 3: Cross multiply
    8,299.10x = 11,463.94 × 7,708.61
  4. Step 4: Simplify right side
    8,299.10x = 88,371,042.52
  5. Step 5: Solve for x
    x = 88,371,042.52/8,299.10
  6. Step 6: Final answer
    x = 10,648.27

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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.