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Finding the Fourth Proportional to 4,967.52, 6,854.76 and 2,871.24

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Solution

The fourth proportional to 4,967.52, 6,854.76 and 2,871.24 is: 3,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.52 : 6,854.76 = 2,871.24 : x
  2. Step 2: Convert to fraction form
    4,967.52/6,854.76 = 2,871.24/x
  3. Step 3: Cross multiply
    4,967.52x = 6,854.76 × 2,871.24
  4. Step 4: Simplify right side
    4,967.52x = 19,681,661.10
  5. Step 5: Solve for x
    x = 19,681,661.10/4,967.52
  6. Step 6: Final answer
    x = 3,962.07

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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.