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Finding the Fourth Proportional to 6,275.76, 9,395.14 and 5,497.28

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Solution

The fourth proportional to 6,275.76, 9,395.14 and 5,497.28 is: 8,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.76 : 9,395.14 = 5,497.28 : x
  2. Step 2: Convert to fraction form
    6,275.76/9,395.14 = 5,497.28/x
  3. Step 3: Cross multiply
    6,275.76x = 9,395.14 × 5,497.28
  4. Step 4: Simplify right side
    6,275.76x = 51,647,715.22
  5. Step 5: Solve for x
    x = 51,647,715.22/6,275.76
  6. Step 6: Final answer
    x = 8,229.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.