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Finding the Fourth Proportional to 6,934.47, 10,401.71 and 2,317.47

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Solution

The fourth proportional to 6,934.47, 10,401.71 and 2,317.47 is: 3,476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.47 : 10,401.71 = 2,317.47 : x
  2. Step 2: Convert to fraction form
    6,934.47/10,401.71 = 2,317.47/x
  3. Step 3: Cross multiply
    6,934.47x = 10,401.71 × 2,317.47
  4. Step 4: Simplify right side
    6,934.47x = 24,105,650.87
  5. Step 5: Solve for x
    x = 24,105,650.87/6,934.47
  6. Step 6: Final answer
    x = 3,476.21

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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.