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Finding the Fourth Proportional to 4,747.78, 7,117.60 and 3,356.74

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Solution

The fourth proportional to 4,747.78, 7,117.60 and 3,356.74 is: 5,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.78 : 7,117.60 = 3,356.74 : x
  2. Step 2: Convert to fraction form
    4,747.78/7,117.60 = 3,356.74/x
  3. Step 3: Cross multiply
    4,747.78x = 7,117.60 × 3,356.74
  4. Step 4: Simplify right side
    4,747.78x = 23,891,932.62
  5. Step 5: Solve for x
    x = 23,891,932.62/4,747.78
  6. Step 6: Final answer
    x = 5,032.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.