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Finding the Fourth Proportional to 4,274.78, 6,404.47 and 4,017.46

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Solution

The fourth proportional to 4,274.78, 6,404.47 and 4,017.46 is: 6,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.78 : 6,404.47 = 4,017.46 : x
  2. Step 2: Convert to fraction form
    4,274.78/6,404.47 = 4,017.46/x
  3. Step 3: Cross multiply
    4,274.78x = 6,404.47 × 4,017.46
  4. Step 4: Simplify right side
    4,274.78x = 25,729,702.05
  5. Step 5: Solve for x
    x = 25,729,702.05/4,274.78
  6. Step 6: Final answer
    x = 6,018.95

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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.