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Finding the Fourth Proportional to 6,934.06, 10,401.09 and 2,317.06

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Solution

The fourth proportional to 6,934.06, 10,401.09 and 2,317.06 is: 3,475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.06 : 10,401.09 = 2,317.06 : x
  2. Step 2: Convert to fraction form
    6,934.06/10,401.09 = 2,317.06/x
  3. Step 3: Cross multiply
    6,934.06x = 10,401.09 × 2,317.06
  4. Step 4: Simplify right side
    6,934.06x = 24,099,984.29
  5. Step 5: Solve for x
    x = 24,099,984.29/6,934.06
  6. Step 6: Final answer
    x = 3,475.59

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Similar ratio
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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.