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Finding the Fourth Proportional to 10,228.75, 14,079.09 and 7,391.59

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Solution

The fourth proportional to 10,228.75, 14,079.09 and 7,391.59 is: 10,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.75 : 14,079.09 = 7,391.59 : x
  2. Step 2: Convert to fraction form
    10,228.75/14,079.09 = 7,391.59/x
  3. Step 3: Cross multiply
    10,228.75x = 14,079.09 × 7,391.59
  4. Step 4: Simplify right side
    10,228.75x = 104,066,860.85
  5. Step 5: Solve for x
    x = 104,066,860.85/10,228.75
  6. Step 6: Final answer
    x = 10,173.96

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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.