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Finding the Fourth Proportional to 4,951.48, 6,834.06 and 2,963.80

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Solution

The fourth proportional to 4,951.48, 6,834.06 and 2,963.80 is: 4,090.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.48 : 6,834.06 = 2,963.80 : x
  2. Step 2: Convert to fraction form
    4,951.48/6,834.06 = 2,963.80/x
  3. Step 3: Cross multiply
    4,951.48x = 6,834.06 × 2,963.80
  4. Step 4: Simplify right side
    4,951.48x = 20,254,787.03
  5. Step 5: Solve for x
    x = 20,254,787.03/4,951.48
  6. Step 6: Final answer
    x = 4,090.65

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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.