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Finding the Fourth Proportional to 9,037.74, 13,559.07 and 3,771

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Solution

The fourth proportional to 9,037.74, 13,559.07 and 3,771 is: 5,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.74 : 13,559.07 = 3,771 : x
  2. Step 2: Convert to fraction form
    9,037.74/13,559.07 = 3,771/x
  3. Step 3: Cross multiply
    9,037.74x = 13,559.07 × 3,771
  4. Step 4: Simplify right side
    9,037.74x = 51,131,252.97
  5. Step 5: Solve for x
    x = 51,131,252.97/9,037.74
  6. Step 6: Final answer
    x = 5,657.53

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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.