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Finding the Fourth Proportional to 6,853.92, 9,458.24 and 3,869.67

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Solution

The fourth proportional to 6,853.92, 9,458.24 and 3,869.67 is: 5,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.92 : 9,458.24 = 3,869.67 : x
  2. Step 2: Convert to fraction form
    6,853.92/9,458.24 = 3,869.67/x
  3. Step 3: Cross multiply
    6,853.92x = 9,458.24 × 3,869.67
  4. Step 4: Simplify right side
    6,853.92x = 36,600,316.35
  5. Step 5: Solve for x
    x = 36,600,316.35/6,853.92
  6. Step 6: Final answer
    x = 5,340.06

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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.