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Finding the Fourth Proportional to 6,586.60, 9,879.90 and 6,151.40

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Solution

The fourth proportional to 6,586.60, 9,879.90 and 6,151.40 is: 9,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.60 : 9,879.90 = 6,151.40 : x
  2. Step 2: Convert to fraction form
    6,586.60/9,879.90 = 6,151.40/x
  3. Step 3: Cross multiply
    6,586.60x = 9,879.90 × 6,151.40
  4. Step 4: Simplify right side
    6,586.60x = 60,775,216.86
  5. Step 5: Solve for x
    x = 60,775,216.86/6,586.60
  6. Step 6: Final answer
    x = 9,227.10

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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.