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Finding the Fourth Proportional to 6,159.50, 9,205.49 and 4,497.13

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Solution

The fourth proportional to 6,159.50, 9,205.49 and 4,497.13 is: 6,721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.50 : 9,205.49 = 4,497.13 : x
  2. Step 2: Convert to fraction form
    6,159.50/9,205.49 = 4,497.13/x
  3. Step 3: Cross multiply
    6,159.50x = 9,205.49 × 4,497.13
  4. Step 4: Simplify right side
    6,159.50x = 41,398,264.64
  5. Step 5: Solve for x
    x = 41,398,264.64/6,159.50
  6. Step 6: Final answer
    x = 6,721.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.