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Finding the Fourth Proportional to 4,963.64, 7,394.97 and 4,728.54

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Solution

The fourth proportional to 4,963.64, 7,394.97 and 4,728.54 is: 7,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.64 : 7,394.97 = 4,728.54 : x
  2. Step 2: Convert to fraction form
    4,963.64/7,394.97 = 4,728.54/x
  3. Step 3: Cross multiply
    4,963.64x = 7,394.97 × 4,728.54
  4. Step 4: Simplify right side
    4,963.64x = 34,967,411.44
  5. Step 5: Solve for x
    x = 34,967,411.44/4,963.64
  6. Step 6: Final answer
    x = 7,044.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.