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Finding the Fourth Proportional to 4,959.92, 7,440.12 and 1,627.86

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Solution

The fourth proportional to 4,959.92, 7,440.12 and 1,627.86 is: 2,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.92 : 7,440.12 = 1,627.86 : x
  2. Step 2: Convert to fraction form
    4,959.92/7,440.12 = 1,627.86/x
  3. Step 3: Cross multiply
    4,959.92x = 7,440.12 × 1,627.86
  4. Step 4: Simplify right side
    4,959.92x = 12,111,473.74
  5. Step 5: Solve for x
    x = 12,111,473.74/4,959.92
  6. Step 6: Final answer
    x = 2,441.87

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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.