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Finding the Fourth Proportional to 7,952.12, 10,974.02 and 4,367.24

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Solution

The fourth proportional to 7,952.12, 10,974.02 and 4,367.24 is: 6,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.12 : 10,974.02 = 4,367.24 : x
  2. Step 2: Convert to fraction form
    7,952.12/10,974.02 = 4,367.24/x
  3. Step 3: Cross multiply
    7,952.12x = 10,974.02 × 4,367.24
  4. Step 4: Simplify right side
    7,952.12x = 47,926,179.10
  5. Step 5: Solve for x
    x = 47,926,179.10/7,952.12
  6. Step 6: Final answer
    x = 6,026.84

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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.