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Finding the Fourth Proportional to 6,373.74, 9,565.22 and 3,605.82

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Solution

The fourth proportional to 6,373.74, 9,565.22 and 3,605.82 is: 5,411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.74 : 9,565.22 = 3,605.82 : x
  2. Step 2: Convert to fraction form
    6,373.74/9,565.22 = 3,605.82/x
  3. Step 3: Cross multiply
    6,373.74x = 9,565.22 × 3,605.82
  4. Step 4: Simplify right side
    6,373.74x = 34,490,427.12
  5. Step 5: Solve for x
    x = 34,490,427.12/6,373.74
  6. Step 6: Final answer
    x = 5,411.33

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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.