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Finding the Fourth Proportional to 10,440.44, 14,407.80 and 5,724.80

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Solution

The fourth proportional to 10,440.44, 14,407.80 and 5,724.80 is: 7,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.44 : 14,407.80 = 5,724.80 : x
  2. Step 2: Convert to fraction form
    10,440.44/14,407.80 = 5,724.80/x
  3. Step 3: Cross multiply
    10,440.44x = 14,407.80 × 5,724.80
  4. Step 4: Simplify right side
    10,440.44x = 82,481,773.44
  5. Step 5: Solve for x
    x = 82,481,773.44/10,440.44
  6. Step 6: Final answer
    x = 7,900.22

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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.