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Finding the Fourth Proportional to 10,441.64, 14,409.16 and 5,965.30

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Solution

The fourth proportional to 10,441.64, 14,409.16 and 5,965.30 is: 8,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.64 : 14,409.16 = 5,965.30 : x
  2. Step 2: Convert to fraction form
    10,441.64/14,409.16 = 5,965.30/x
  3. Step 3: Cross multiply
    10,441.64x = 14,409.16 × 5,965.30
  4. Step 4: Simplify right side
    10,441.64x = 85,954,962.15
  5. Step 5: Solve for x
    x = 85,954,962.15/10,441.64
  6. Step 6: Final answer
    x = 8,231.94

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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.