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Finding the Fourth Proportional to 10,480.75, 14,463.14 and 5,765.03

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Solution

The fourth proportional to 10,480.75, 14,463.14 and 5,765.03 is: 7,955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.75 : 14,463.14 = 5,765.03 : x
  2. Step 2: Convert to fraction form
    10,480.75/14,463.14 = 5,765.03/x
  3. Step 3: Cross multiply
    10,480.75x = 14,463.14 × 5,765.03
  4. Step 4: Simplify right side
    10,480.75x = 83,380,486.56
  5. Step 5: Solve for x
    x = 83,380,486.56/10,480.75
  6. Step 6: Final answer
    x = 7,955.59

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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.