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Finding the Fourth Proportional to 10,441.68, 14,410.05 and 5,965.92

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Solution

The fourth proportional to 10,441.68, 14,410.05 and 5,965.92 is: 8,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.68 : 14,410.05 = 5,965.92 : x
  2. Step 2: Convert to fraction form
    10,441.68/14,410.05 = 5,965.92/x
  3. Step 3: Cross multiply
    10,441.68x = 14,410.05 × 5,965.92
  4. Step 4: Simplify right side
    10,441.68x = 85,969,216.68
  5. Step 5: Solve for x
    x = 85,969,216.68/10,441.68
  6. Step 6: Final answer
    x = 8,233.28

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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.