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Finding the Fourth Proportional to 6,575.75, 9,868.49 and 3,113

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Solution

The fourth proportional to 6,575.75, 9,868.49 and 3,113 is: 4,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.75 : 9,868.49 = 3,113 : x
  2. Step 2: Convert to fraction form
    6,575.75/9,868.49 = 3,113/x
  3. Step 3: Cross multiply
    6,575.75x = 9,868.49 × 3,113
  4. Step 4: Simplify right side
    6,575.75x = 30,720,593.81
  5. Step 5: Solve for x
    x = 30,720,593.81/6,575.75
  6. Step 6: Final answer
    x = 4,671.80

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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.