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Finding the Fourth Proportional to 6,958.78, 9,545.92 and 6,582.16

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Solution

The fourth proportional to 6,958.78, 9,545.92 and 6,582.16 is: 9,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.78 : 9,545.92 = 6,582.16 : x
  2. Step 2: Convert to fraction form
    6,958.78/9,545.92 = 6,582.16/x
  3. Step 3: Cross multiply
    6,958.78x = 9,545.92 × 6,582.16
  4. Step 4: Simplify right side
    6,958.78x = 62,832,772.79
  5. Step 5: Solve for x
    x = 62,832,772.79/6,958.78
  6. Step 6: Final answer
    x = 9,029.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.