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Finding the Fourth Proportional to 4,951.67, 6,833.39 and 2,962.31

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Solution

The fourth proportional to 4,951.67, 6,833.39 and 2,962.31 is: 4,088.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.67 : 6,833.39 = 2,962.31 : x
  2. Step 2: Convert to fraction form
    4,951.67/6,833.39 = 2,962.31/x
  3. Step 3: Cross multiply
    4,951.67x = 6,833.39 × 2,962.31
  4. Step 4: Simplify right side
    4,951.67x = 20,242,621.80
  5. Step 5: Solve for x
    x = 20,242,621.80/4,951.67
  6. Step 6: Final answer
    x = 4,088.04

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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.