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Finding the Fourth Proportional to 6,966.76, 9,614.12 and 3,982.65

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Solution

The fourth proportional to 6,966.76, 9,614.12 and 3,982.65 is: 5,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.76 : 9,614.12 = 3,982.65 : x
  2. Step 2: Convert to fraction form
    6,966.76/9,614.12 = 3,982.65/x
  3. Step 3: Cross multiply
    6,966.76x = 9,614.12 × 3,982.65
  4. Step 4: Simplify right side
    6,966.76x = 38,289,675.02
  5. Step 5: Solve for x
    x = 38,289,675.02/6,966.76
  6. Step 6: Final answer
    x = 5,496.06

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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.