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Finding the Fourth Proportional to 6,992.42, 10,489.12 and 2,312.24

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Solution

The fourth proportional to 6,992.42, 10,489.12 and 2,312.24 is: 3,468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.42 : 10,489.12 = 2,312.24 : x
  2. Step 2: Convert to fraction form
    6,992.42/10,489.12 = 2,312.24/x
  3. Step 3: Cross multiply
    6,992.42x = 10,489.12 × 2,312.24
  4. Step 4: Simplify right side
    6,992.42x = 24,253,362.83
  5. Step 5: Solve for x
    x = 24,253,362.83/6,992.42
  6. Step 6: Final answer
    x = 3,468.52

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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.