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Finding the Fourth Proportional to 6,734.57, 9,297.86 and 4,346.64

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Solution

The fourth proportional to 6,734.57, 9,297.86 and 4,346.64 is: 6,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.57 : 9,297.86 = 4,346.64 : x
  2. Step 2: Convert to fraction form
    6,734.57/9,297.86 = 4,346.64/x
  3. Step 3: Cross multiply
    6,734.57x = 9,297.86 × 4,346.64
  4. Step 4: Simplify right side
    6,734.57x = 40,414,428.46
  5. Step 5: Solve for x
    x = 40,414,428.46/6,734.57
  6. Step 6: Final answer
    x = 6,001.05

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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.