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Finding the Fourth Proportional to 9,962.76, 13,757.94 and 6,243.24

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Solution

The fourth proportional to 9,962.76, 13,757.94 and 6,243.24 is: 8,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.76 : 13,757.94 = 6,243.24 : x
  2. Step 2: Convert to fraction form
    9,962.76/13,757.94 = 6,243.24/x
  3. Step 3: Cross multiply
    9,962.76x = 13,757.94 × 6,243.24
  4. Step 4: Simplify right side
    9,962.76x = 85,894,121.33
  5. Step 5: Solve for x
    x = 85,894,121.33/9,962.76
  6. Step 6: Final answer
    x = 8,621.52

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Half scale
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Double scale
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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.