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Finding the Fourth Proportional to 4,882.71, 6,738.16 and 2,644.59

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Solution

The fourth proportional to 4,882.71, 6,738.16 and 2,644.59 is: 3,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.71 : 6,738.16 = 2,644.59 : x
  2. Step 2: Convert to fraction form
    4,882.71/6,738.16 = 2,644.59/x
  3. Step 3: Cross multiply
    4,882.71x = 6,738.16 × 2,644.59
  4. Step 4: Simplify right side
    4,882.71x = 17,819,670.55
  5. Step 5: Solve for x
    x = 17,819,670.55/4,882.71
  6. Step 6: Final answer
    x = 3,649.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.