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Finding the Fourth Proportional to 8,003.34, 11,926.44 and 7,738.74

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Solution

The fourth proportional to 8,003.34, 11,926.44 and 7,738.74 is: 11,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.34 : 11,926.44 = 7,738.74 : x
  2. Step 2: Convert to fraction form
    8,003.34/11,926.44 = 7,738.74/x
  3. Step 3: Cross multiply
    8,003.34x = 11,926.44 × 7,738.74
  4. Step 4: Simplify right side
    8,003.34x = 92,295,618.29
  5. Step 5: Solve for x
    x = 92,295,618.29/8,003.34
  6. Step 6: Final answer
    x = 11,532.14

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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.