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Finding the Fourth Proportional to 6,595.38, 9,101.43 and 3,611.10

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Solution

The fourth proportional to 6,595.38, 9,101.43 and 3,611.10 is: 4,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.38 : 9,101.43 = 3,611.10 : x
  2. Step 2: Convert to fraction form
    6,595.38/9,101.43 = 3,611.10/x
  3. Step 3: Cross multiply
    6,595.38x = 9,101.43 × 3,611.10
  4. Step 4: Simplify right side
    6,595.38x = 32,866,173.87
  5. Step 5: Solve for x
    x = 32,866,173.87/6,595.38
  6. Step 6: Final answer
    x = 4,983.21

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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.