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Finding the Fourth Proportional to 10,697.86, 14,764.44 and 5,983.12

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Solution

The fourth proportional to 10,697.86, 14,764.44 and 5,983.12 is: 8,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.86 : 14,764.44 = 5,983.12 : x
  2. Step 2: Convert to fraction form
    10,697.86/14,764.44 = 5,983.12/x
  3. Step 3: Cross multiply
    10,697.86x = 14,764.44 × 5,983.12
  4. Step 4: Simplify right side
    10,697.86x = 88,337,416.25
  5. Step 5: Solve for x
    x = 88,337,416.25/10,697.86
  6. Step 6: Final answer
    x = 8,257.48

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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.