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Finding the Fourth Proportional to 8,417.70, 11,604.27 and 5,891.97

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Solution

The fourth proportional to 8,417.70, 11,604.27 and 5,891.97 is: 8,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.70 : 11,604.27 = 5,891.97 : x
  2. Step 2: Convert to fraction form
    8,417.70/11,604.27 = 5,891.97/x
  3. Step 3: Cross multiply
    8,417.70x = 11,604.27 × 5,891.97
  4. Step 4: Simplify right side
    8,417.70x = 68,372,010.71
  5. Step 5: Solve for x
    x = 68,372,010.71/8,417.70
  6. Step 6: Final answer
    x = 8,122.41

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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.