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Finding the Fourth Proportional to 4,900.75, 6,764.14 and 3,013.97

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Solution

The fourth proportional to 4,900.75, 6,764.14 and 3,013.97 is: 4,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.75 : 6,764.14 = 3,013.97 : x
  2. Step 2: Convert to fraction form
    4,900.75/6,764.14 = 3,013.97/x
  3. Step 3: Cross multiply
    4,900.75x = 6,764.14 × 3,013.97
  4. Step 4: Simplify right side
    4,900.75x = 20,386,915.04
  5. Step 5: Solve for x
    x = 20,386,915.04/4,900.75
  6. Step 6: Final answer
    x = 4,159.96

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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.