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Finding the Fourth Proportional to 6,938.91, 9,556.20 and 6,494.22

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Solution

The fourth proportional to 6,938.91, 9,556.20 and 6,494.22 is: 8,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.91 : 9,556.20 = 6,494.22 : x
  2. Step 2: Convert to fraction form
    6,938.91/9,556.20 = 6,494.22/x
  3. Step 3: Cross multiply
    6,938.91x = 9,556.20 × 6,494.22
  4. Step 4: Simplify right side
    6,938.91x = 62,060,065.16
  5. Step 5: Solve for x
    x = 62,060,065.16/6,938.91
  6. Step 6: Final answer
    x = 8,943.78

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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.