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Finding the Fourth Proportional to 7,732.22, 11,578.71 and 6,479.52

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Solution

The fourth proportional to 7,732.22, 11,578.71 and 6,479.52 is: 9,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.22 : 11,578.71 = 6,479.52 : x
  2. Step 2: Convert to fraction form
    7,732.22/11,578.71 = 6,479.52/x
  3. Step 3: Cross multiply
    7,732.22x = 11,578.71 × 6,479.52
  4. Step 4: Simplify right side
    7,732.22x = 75,024,483.02
  5. Step 5: Solve for x
    x = 75,024,483.02/7,732.22
  6. Step 6: Final answer
    x = 9,702.84

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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.