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Finding the Fourth Proportional to 6,906.64, 10,358.52 and 2,227.08

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Solution

The fourth proportional to 6,906.64, 10,358.52 and 2,227.08 is: 3,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.64 : 10,358.52 = 2,227.08 : x
  2. Step 2: Convert to fraction form
    6,906.64/10,358.52 = 2,227.08/x
  3. Step 3: Cross multiply
    6,906.64x = 10,358.52 × 2,227.08
  4. Step 4: Simplify right side
    6,906.64x = 23,069,252.72
  5. Step 5: Solve for x
    x = 23,069,252.72/6,906.64
  6. Step 6: Final answer
    x = 3,340.16

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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.