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Finding the Fourth Proportional to 6,941.56, 9,578.92 and 3,957.32

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Solution

The fourth proportional to 6,941.56, 9,578.92 and 3,957.32 is: 5,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.56 : 9,578.92 = 3,957.32 : x
  2. Step 2: Convert to fraction form
    6,941.56/9,578.92 = 3,957.32/x
  3. Step 3: Cross multiply
    6,941.56x = 9,578.92 × 3,957.32
  4. Step 4: Simplify right side
    6,941.56x = 37,906,851.69
  5. Step 5: Solve for x
    x = 37,906,851.69/6,941.56
  6. Step 6: Final answer
    x = 5,460.85

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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.