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Finding the Fourth Proportional to 6,996.97, 10,492.65 and 3,098.65

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Solution

The fourth proportional to 6,996.97, 10,492.65 and 3,098.65 is: 4,646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.97 : 10,492.65 = 3,098.65 : x
  2. Step 2: Convert to fraction form
    6,996.97/10,492.65 = 3,098.65/x
  3. Step 3: Cross multiply
    6,996.97x = 10,492.65 × 3,098.65
  4. Step 4: Simplify right side
    6,996.97x = 32,513,049.92
  5. Step 5: Solve for x
    x = 32,513,049.92/6,996.97
  6. Step 6: Final answer
    x = 4,646.73

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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.