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Finding the Fourth Proportional to 7,871.52, 10,863.16 and 4,514.31

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Solution

The fourth proportional to 7,871.52, 10,863.16 and 4,514.31 is: 6,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.52 : 10,863.16 = 4,514.31 : x
  2. Step 2: Convert to fraction form
    7,871.52/10,863.16 = 4,514.31/x
  3. Step 3: Cross multiply
    7,871.52x = 10,863.16 × 4,514.31
  4. Step 4: Simplify right side
    7,871.52x = 49,039,660.53
  5. Step 5: Solve for x
    x = 49,039,660.53/7,871.52
  6. Step 6: Final answer
    x = 6,230.01

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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.