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Finding the Fourth Proportional to 4,627.22, 6,934.21 and 4,377.74

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Solution

The fourth proportional to 4,627.22, 6,934.21 and 4,377.74 is: 6,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.22 : 6,934.21 = 4,377.74 : x
  2. Step 2: Convert to fraction form
    4,627.22/6,934.21 = 4,377.74/x
  3. Step 3: Cross multiply
    4,627.22x = 6,934.21 × 4,377.74
  4. Step 4: Simplify right side
    4,627.22x = 30,356,122.87
  5. Step 5: Solve for x
    x = 30,356,122.87/4,627.22
  6. Step 6: Final answer
    x = 6,560.34

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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.