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Finding the Fourth Proportional to 7,769.34, 10,732.55 and 7,481.34

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Solution

The fourth proportional to 7,769.34, 10,732.55 and 7,481.34 is: 10,334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.34 : 10,732.55 = 7,481.34 : x
  2. Step 2: Convert to fraction form
    7,769.34/10,732.55 = 7,481.34/x
  3. Step 3: Cross multiply
    7,769.34x = 10,732.55 × 7,481.34
  4. Step 4: Simplify right side
    7,769.34x = 80,293,818.21
  5. Step 5: Solve for x
    x = 80,293,818.21/7,769.34
  6. Step 6: Final answer
    x = 10,334.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.