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Finding the Fourth Proportional to 6,507.53, 9,765.32 and 2,558.10

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Solution

The fourth proportional to 6,507.53, 9,765.32 and 2,558.10 is: 3,838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.53 : 9,765.32 = 2,558.10 : x
  2. Step 2: Convert to fraction form
    6,507.53/9,765.32 = 2,558.10/x
  3. Step 3: Cross multiply
    6,507.53x = 9,765.32 × 2,558.10
  4. Step 4: Simplify right side
    6,507.53x = 24,980,658.70
  5. Step 5: Solve for x
    x = 24,980,658.70/6,507.53
  6. Step 6: Final answer
    x = 3,838.73

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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.