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Finding the Fourth Proportional to 7,198.32, 9,929.39 and 5,309.30

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Solution

The fourth proportional to 7,198.32, 9,929.39 and 5,309.30 is: 7,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.32 : 9,929.39 = 5,309.30 : x
  2. Step 2: Convert to fraction form
    7,198.32/9,929.39 = 5,309.30/x
  3. Step 3: Cross multiply
    7,198.32x = 9,929.39 × 5,309.30
  4. Step 4: Simplify right side
    7,198.32x = 52,718,083.78
  5. Step 5: Solve for x
    x = 52,718,083.78/7,198.32
  6. Step 6: Final answer
    x = 7,323.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.