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Finding the Fourth Proportional to 4,952.62, 6,834.54 and 2,963.35

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Solution

The fourth proportional to 4,952.62, 6,834.54 and 2,963.35 is: 4,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.62 : 6,834.54 = 2,963.35 : x
  2. Step 2: Convert to fraction form
    4,952.62/6,834.54 = 2,963.35/x
  3. Step 3: Cross multiply
    4,952.62x = 6,834.54 × 2,963.35
  4. Step 4: Simplify right side
    4,952.62x = 20,253,134.11
  5. Step 5: Solve for x
    x = 20,253,134.11/4,952.62
  6. Step 6: Final answer
    x = 4,089.38

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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.