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Finding the Fourth Proportional to 7,763.96, 11,589.56 and 7,185.74

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Solution

The fourth proportional to 7,763.96, 11,589.56 and 7,185.74 is: 10,726.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.96 : 11,589.56 = 7,185.74 : x
  2. Step 2: Convert to fraction form
    7,763.96/11,589.56 = 7,185.74/x
  3. Step 3: Cross multiply
    7,763.96x = 11,589.56 × 7,185.74
  4. Step 4: Simplify right side
    7,763.96x = 83,279,564.87
  5. Step 5: Solve for x
    x = 83,279,564.87/7,763.96
  6. Step 6: Final answer
    x = 10,726.43

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.