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Finding the Fourth Proportional to 11,073.75, 15,281.78 and 6,105.75

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Solution

The fourth proportional to 11,073.75, 15,281.78 and 6,105.75 is: 8,425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,073.75 : 15,281.78 = 6,105.75 : x
  2. Step 2: Convert to fraction form
    11,073.75/15,281.78 = 6,105.75/x
  3. Step 3: Cross multiply
    11,073.75x = 15,281.78 × 6,105.75
  4. Step 4: Simplify right side
    11,073.75x = 93,306,728.24
  5. Step 5: Solve for x
    x = 93,306,728.24/11,073.75
  6. Step 6: Final answer
    x = 8,425.94

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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.