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Finding the Fourth Proportional to 6,992.46, 10,488.56 and 2,832.30

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Solution

The fourth proportional to 6,992.46, 10,488.56 and 2,832.30 is: 4,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.46 : 10,488.56 = 2,832.30 : x
  2. Step 2: Convert to fraction form
    6,992.46/10,488.56 = 2,832.30/x
  3. Step 3: Cross multiply
    6,992.46x = 10,488.56 × 2,832.30
  4. Step 4: Simplify right side
    6,992.46x = 29,706,734.33
  5. Step 5: Solve for x
    x = 29,706,734.33/6,992.46
  6. Step 6: Final answer
    x = 4,248.40

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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.