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Finding the Fourth Proportional to 6,986.97, 9,640.76 and 4,002.12

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Solution

The fourth proportional to 6,986.97, 9,640.76 and 4,002.12 is: 5,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.97 : 9,640.76 = 4,002.12 : x
  2. Step 2: Convert to fraction form
    6,986.97/9,640.76 = 4,002.12/x
  3. Step 3: Cross multiply
    6,986.97x = 9,640.76 × 4,002.12
  4. Step 4: Simplify right side
    6,986.97x = 38,583,458.40
  5. Step 5: Solve for x
    x = 38,583,458.40/6,986.97
  6. Step 6: Final answer
    x = 5,522.20

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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.