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Finding the Fourth Proportional to 6,995.91, 10,486.47 and 2,314.71

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Solution

The fourth proportional to 6,995.91, 10,486.47 and 2,314.71 is: 3,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.91 : 10,486.47 = 2,314.71 : x
  2. Step 2: Convert to fraction form
    6,995.91/10,486.47 = 2,314.71/x
  3. Step 3: Cross multiply
    6,995.91x = 10,486.47 × 2,314.71
  4. Step 4: Simplify right side
    6,995.91x = 24,273,151.62
  5. Step 5: Solve for x
    x = 24,273,151.62/6,995.91
  6. Step 6: Final answer
    x = 3,469.62

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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.