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Finding the Fourth Proportional to 4,191.62, 6,256.05 and 4,122.42

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Solution

The fourth proportional to 4,191.62, 6,256.05 and 4,122.42 is: 6,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.62 : 6,256.05 = 4,122.42 : x
  2. Step 2: Convert to fraction form
    4,191.62/6,256.05 = 4,122.42/x
  3. Step 3: Cross multiply
    4,191.62x = 6,256.05 × 4,122.42
  4. Step 4: Simplify right side
    4,191.62x = 25,790,026.72
  5. Step 5: Solve for x
    x = 25,790,026.72/4,191.62
  6. Step 6: Final answer
    x = 6,152.77

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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.