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Finding the Fourth Proportional to 6,546.80, 9,037.50 and 3,895.13

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Solution

The fourth proportional to 6,546.80, 9,037.50 and 3,895.13 is: 5,377.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.80 : 9,037.50 = 3,895.13 : x
  2. Step 2: Convert to fraction form
    6,546.80/9,037.50 = 3,895.13/x
  3. Step 3: Cross multiply
    6,546.80x = 9,037.50 × 3,895.13
  4. Step 4: Simplify right side
    6,546.80x = 35,202,237.38
  5. Step 5: Solve for x
    x = 35,202,237.38/6,546.80
  6. Step 6: Final answer
    x = 5,377.01

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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.