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Finding the Fourth Proportional to 10,691.37, 14,753.94 and 5,975.64

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Solution

The fourth proportional to 10,691.37, 14,753.94 and 5,975.64 is: 8,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.37 : 14,753.94 = 5,975.64 : x
  2. Step 2: Convert to fraction form
    10,691.37/14,753.94 = 5,975.64/x
  3. Step 3: Cross multiply
    10,691.37x = 14,753.94 × 5,975.64
  4. Step 4: Simplify right side
    10,691.37x = 88,164,234.02
  5. Step 5: Solve for x
    x = 88,164,234.02/10,691.37
  6. Step 6: Final answer
    x = 8,246.30

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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.