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Finding the Fourth Proportional to 4,122.46, 6,184.46 and 1,657.47

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Solution

The fourth proportional to 4,122.46, 6,184.46 and 1,657.47 is: 2,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.46 : 6,184.46 = 1,657.47 : x
  2. Step 2: Convert to fraction form
    4,122.46/6,184.46 = 1,657.47/x
  3. Step 3: Cross multiply
    4,122.46x = 6,184.46 × 1,657.47
  4. Step 4: Simplify right side
    4,122.46x = 10,250,556.92
  5. Step 5: Solve for x
    x = 10,250,556.92/4,122.46
  6. Step 6: Final answer
    x = 2,486.51

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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.