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Finding the Fourth Proportional to 5,975.64, 8,963.46 and 2,077.92

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Solution

The fourth proportional to 5,975.64, 8,963.46 and 2,077.92 is: 3,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.64 : 8,963.46 = 2,077.92 : x
  2. Step 2: Convert to fraction form
    5,975.64/8,963.46 = 2,077.92/x
  3. Step 3: Cross multiply
    5,975.64x = 8,963.46 × 2,077.92
  4. Step 4: Simplify right side
    5,975.64x = 18,625,352.80
  5. Step 5: Solve for x
    x = 18,625,352.80/5,975.64
  6. Step 6: Final answer
    x = 3,116.88

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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.