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Finding the Fourth Proportional to 7,769.70, 10,722.06 and 4,232.97

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Solution

The fourth proportional to 7,769.70, 10,722.06 and 4,232.97 is: 5,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.70 : 10,722.06 = 4,232.97 : x
  2. Step 2: Convert to fraction form
    7,769.70/10,722.06 = 4,232.97/x
  3. Step 3: Cross multiply
    7,769.70x = 10,722.06 × 4,232.97
  4. Step 4: Simplify right side
    7,769.70x = 45,386,158.32
  5. Step 5: Solve for x
    x = 45,386,158.32/7,769.70
  6. Step 6: Final answer
    x = 5,841.43

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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.