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Finding the Fourth Proportional to 9,934.13, 13,697.82 and 6,344.34

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Solution

The fourth proportional to 9,934.13, 13,697.82 and 6,344.34 is: 8,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.13 : 13,697.82 = 6,344.34 : x
  2. Step 2: Convert to fraction form
    9,934.13/13,697.82 = 6,344.34/x
  3. Step 3: Cross multiply
    9,934.13x = 13,697.82 × 6,344.34
  4. Step 4: Simplify right side
    9,934.13x = 86,903,627.34
  5. Step 5: Solve for x
    x = 86,903,627.34/9,934.13
  6. Step 6: Final answer
    x = 8,747.99

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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.