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Finding the Fourth Proportional to 10,546.85, 15,759.84 and 8,034.10

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Solution

The fourth proportional to 10,546.85, 15,759.84 and 8,034.10 is: 12,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.85 : 15,759.84 = 8,034.10 : x
  2. Step 2: Convert to fraction form
    10,546.85/15,759.84 = 8,034.10/x
  3. Step 3: Cross multiply
    10,546.85x = 15,759.84 × 8,034.10
  4. Step 4: Simplify right side
    10,546.85x = 126,616,091.14
  5. Step 5: Solve for x
    x = 126,616,091.14/10,546.85
  6. Step 6: Final answer
    x = 12,005.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.