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Finding the Fourth Proportional to 10,697.91, 14,762.84 and 5,982.63

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Solution

The fourth proportional to 10,697.91, 14,762.84 and 5,982.63 is: 8,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.91 : 14,762.84 = 5,982.63 : x
  2. Step 2: Convert to fraction form
    10,697.91/14,762.84 = 5,982.63/x
  3. Step 3: Cross multiply
    10,697.91x = 14,762.84 × 5,982.63
  4. Step 4: Simplify right side
    10,697.91x = 88,320,579.56
  5. Step 5: Solve for x
    x = 88,320,579.56/10,697.91
  6. Step 6: Final answer
    x = 8,255.87

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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.