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Finding the Fourth Proportional to 6,758.70, 10,138.05 and 3,478.20

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Solution

The fourth proportional to 6,758.70, 10,138.05 and 3,478.20 is: 5,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.70 : 10,138.05 = 3,478.20 : x
  2. Step 2: Convert to fraction form
    6,758.70/10,138.05 = 3,478.20/x
  3. Step 3: Cross multiply
    6,758.70x = 10,138.05 × 3,478.20
  4. Step 4: Simplify right side
    6,758.70x = 35,262,165.51
  5. Step 5: Solve for x
    x = 35,262,165.51/6,758.70
  6. Step 6: Final answer
    x = 5,217.30

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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.