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Finding the Fourth Proportional to 6,151.28, 9,225.92 and 1,767.74

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Solution

The fourth proportional to 6,151.28, 9,225.92 and 1,767.74 is: 2,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.28 : 9,225.92 = 1,767.74 : x
  2. Step 2: Convert to fraction form
    6,151.28/9,225.92 = 1,767.74/x
  3. Step 3: Cross multiply
    6,151.28x = 9,225.92 × 1,767.74
  4. Step 4: Simplify right side
    6,151.28x = 16,308,986.11
  5. Step 5: Solve for x
    x = 16,308,986.11/6,151.28
  6. Step 6: Final answer
    x = 2,651.32

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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.