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Finding the Fourth Proportional to 6,398.90, 9,552.65 and 5,414.48

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Solution

The fourth proportional to 6,398.90, 9,552.65 and 5,414.48 is: 8,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.90 : 9,552.65 = 5,414.48 : x
  2. Step 2: Convert to fraction form
    6,398.90/9,552.65 = 5,414.48/x
  3. Step 3: Cross multiply
    6,398.90x = 9,552.65 × 5,414.48
  4. Step 4: Simplify right side
    6,398.90x = 51,722,632.37
  5. Step 5: Solve for x
    x = 51,722,632.37/6,398.90
  6. Step 6: Final answer
    x = 8,083.05

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1.5x scale

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.