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Finding the Fourth Proportional to 6,180.74, 9,271.02 and 1,500.78

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Solution

The fourth proportional to 6,180.74, 9,271.02 and 1,500.78 is: 2,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.74 : 9,271.02 = 1,500.78 : x
  2. Step 2: Convert to fraction form
    6,180.74/9,271.02 = 1,500.78/x
  3. Step 3: Cross multiply
    6,180.74x = 9,271.02 × 1,500.78
  4. Step 4: Simplify right side
    6,180.74x = 13,913,784.57
  5. Step 5: Solve for x
    x = 13,913,784.57/6,180.74
  6. Step 6: Final answer
    x = 2,251.15

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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.