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Finding the Fourth Proportional to 7,204.88, 10,785.45 and 6,964.31

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Solution

The fourth proportional to 7,204.88, 10,785.45 and 6,964.31 is: 10,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.88 : 10,785.45 = 6,964.31 : x
  2. Step 2: Convert to fraction form
    7,204.88/10,785.45 = 6,964.31/x
  3. Step 3: Cross multiply
    7,204.88x = 10,785.45 × 6,964.31
  4. Step 4: Simplify right side
    7,204.88x = 75,113,217.29
  5. Step 5: Solve for x
    x = 75,113,217.29/7,204.88
  6. Step 6: Final answer
    x = 10,425.33

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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.