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Finding the Fourth Proportional to 6,510.53, 9,765.80 and 1,580.13

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Solution

The fourth proportional to 6,510.53, 9,765.80 and 1,580.13 is: 2,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.53 : 9,765.80 = 1,580.13 : x
  2. Step 2: Convert to fraction form
    6,510.53/9,765.80 = 1,580.13/x
  3. Step 3: Cross multiply
    6,510.53x = 9,765.80 × 1,580.13
  4. Step 4: Simplify right side
    6,510.53x = 15,431,233.55
  5. Step 5: Solve for x
    x = 15,431,233.55/6,510.53
  6. Step 6: Final answer
    x = 2,370.20

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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.