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Finding the Fourth Proportional to 7,565.89, 11,399.27 and 6,968.11

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Solution

The fourth proportional to 7,565.89, 11,399.27 and 6,968.11 is: 10,498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.89 : 11,399.27 = 6,968.11 : x
  2. Step 2: Convert to fraction form
    7,565.89/11,399.27 = 6,968.11/x
  3. Step 3: Cross multiply
    7,565.89x = 11,399.27 × 6,968.11
  4. Step 4: Simplify right side
    7,565.89x = 79,431,367.28
  5. Step 5: Solve for x
    x = 79,431,367.28/7,565.89
  6. Step 6: Final answer
    x = 10,498.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.