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Finding the Fourth Proportional to 8,047.76, 12,071.28 and 2,853.56

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Solution

The fourth proportional to 8,047.76, 12,071.28 and 2,853.56 is: 4,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.76 : 12,071.28 = 2,853.56 : x
  2. Step 2: Convert to fraction form
    8,047.76/12,071.28 = 2,853.56/x
  3. Step 3: Cross multiply
    8,047.76x = 12,071.28 × 2,853.56
  4. Step 4: Simplify right side
    8,047.76x = 34,446,121.76
  5. Step 5: Solve for x
    x = 34,446,121.76/8,047.76
  6. Step 6: Final answer
    x = 4,280.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.