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Finding the Fourth Proportional to 10,327.68, 14,244.26 and 6,965.15

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Solution

The fourth proportional to 10,327.68, 14,244.26 and 6,965.15 is: 9,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,327.68 : 14,244.26 = 6,965.15 : x
  2. Step 2: Convert to fraction form
    10,327.68/14,244.26 = 6,965.15/x
  3. Step 3: Cross multiply
    10,327.68x = 14,244.26 × 6,965.15
  4. Step 4: Simplify right side
    10,327.68x = 99,213,301.49
  5. Step 5: Solve for x
    x = 99,213,301.49/10,327.68
  6. Step 6: Final answer
    x = 9,606.54

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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.