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Finding the Fourth Proportional to 6,151.28, 9,182.18 and 5,373.68

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Solution

The fourth proportional to 6,151.28, 9,182.18 and 5,373.68 is: 8,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.28 : 9,182.18 = 5,373.68 : x
  2. Step 2: Convert to fraction form
    6,151.28/9,182.18 = 5,373.68/x
  3. Step 3: Cross multiply
    6,151.28x = 9,182.18 × 5,373.68
  4. Step 4: Simplify right side
    6,151.28x = 49,342,097.02
  5. Step 5: Solve for x
    x = 49,342,097.02/6,151.28
  6. Step 6: Final answer
    x = 8,021.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.