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Finding the Fourth Proportional to 4,966.31, 6,853.48 and 2,697.63

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Solution

The fourth proportional to 4,966.31, 6,853.48 and 2,697.63 is: 3,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.31 : 6,853.48 = 2,697.63 : x
  2. Step 2: Convert to fraction form
    4,966.31/6,853.48 = 2,697.63/x
  3. Step 3: Cross multiply
    4,966.31x = 6,853.48 × 2,697.63
  4. Step 4: Simplify right side
    4,966.31x = 18,488,124.26
  5. Step 5: Solve for x
    x = 18,488,124.26/4,966.31
  6. Step 6: Final answer
    x = 3,722.71

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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.