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Finding the Fourth Proportional to 6,966.88, 10,443.12 and 5,230.24

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Solution

The fourth proportional to 6,966.88, 10,443.12 and 5,230.24 is: 7,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.88 : 10,443.12 = 5,230.24 : x
  2. Step 2: Convert to fraction form
    6,966.88/10,443.12 = 5,230.24/x
  3. Step 3: Cross multiply
    6,966.88x = 10,443.12 × 5,230.24
  4. Step 4: Simplify right side
    6,966.88x = 54,620,023.95
  5. Step 5: Solve for x
    x = 54,620,023.95/6,966.88
  6. Step 6: Final answer
    x = 7,839.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.