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Finding the Fourth Proportional to 7,708.32, 11,567.96 and 6,964.74

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Solution

The fourth proportional to 7,708.32, 11,567.96 and 6,964.74 is: 10,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.32 : 11,567.96 = 6,964.74 : x
  2. Step 2: Convert to fraction form
    7,708.32/11,567.96 = 6,964.74/x
  3. Step 3: Cross multiply
    7,708.32x = 11,567.96 × 6,964.74
  4. Step 4: Simplify right side
    7,708.32x = 80,567,833.73
  5. Step 5: Solve for x
    x = 80,567,833.73/7,708.32
  6. Step 6: Final answer
    x = 10,452.06

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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.