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Finding the Fourth Proportional to 6,505.90, 9,758.87 and 1,575.53

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Solution

The fourth proportional to 6,505.90, 9,758.87 and 1,575.53 is: 2,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.90 : 9,758.87 = 1,575.53 : x
  2. Step 2: Convert to fraction form
    6,505.90/9,758.87 = 1,575.53/x
  3. Step 3: Cross multiply
    6,505.90x = 9,758.87 × 1,575.53
  4. Step 4: Simplify right side
    6,505.90x = 15,375,392.45
  5. Step 5: Solve for x
    x = 15,375,392.45/6,505.90
  6. Step 6: Final answer
    x = 2,363.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.