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Finding the Fourth Proportional to 6,339.77, 9,497.80 and 5,306.41

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Solution

The fourth proportional to 6,339.77, 9,497.80 and 5,306.41 is: 7,949.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.77 : 9,497.80 = 5,306.41 : x
  2. Step 2: Convert to fraction form
    6,339.77/9,497.80 = 5,306.41/x
  3. Step 3: Cross multiply
    6,339.77x = 9,497.80 × 5,306.41
  4. Step 4: Simplify right side
    6,339.77x = 50,399,146.88
  5. Step 5: Solve for x
    x = 50,399,146.88/6,339.77
  6. Step 6: Final answer
    x = 7,949.69

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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.