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Finding the Fourth Proportional to 7,764.36, 11,657.43 and 7,414.44

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Solution

The fourth proportional to 7,764.36, 11,657.43 and 7,414.44 is: 11,132.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.36 : 11,657.43 = 7,414.44 : x
  2. Step 2: Convert to fraction form
    7,764.36/11,657.43 = 7,414.44/x
  3. Step 3: Cross multiply
    7,764.36x = 11,657.43 × 7,414.44
  4. Step 4: Simplify right side
    7,764.36x = 86,433,315.29
  5. Step 5: Solve for x
    x = 86,433,315.29/7,764.36
  6. Step 6: Final answer
    x = 11,132.06

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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.