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Finding the Fourth Proportional to 6,734.66, 9,293.72 and 3,750.42

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Solution

The fourth proportional to 6,734.66, 9,293.72 and 3,750.42 is: 5,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.66 : 9,293.72 = 3,750.42 : x
  2. Step 2: Convert to fraction form
    6,734.66/9,293.72 = 3,750.42/x
  3. Step 3: Cross multiply
    6,734.66x = 9,293.72 × 3,750.42
  4. Step 4: Simplify right side
    6,734.66x = 34,855,353.36
  5. Step 5: Solve for x
    x = 34,855,353.36/6,734.66
  6. Step 6: Final answer
    x = 5,175.52

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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.