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Finding the Fourth Proportional to 7,769.01, 10,721.25 and 4,232.19

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Solution

The fourth proportional to 7,769.01, 10,721.25 and 4,232.19 is: 5,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.01 : 10,721.25 = 4,232.19 : x
  2. Step 2: Convert to fraction form
    7,769.01/10,721.25 = 4,232.19/x
  3. Step 3: Cross multiply
    7,769.01x = 10,721.25 × 4,232.19
  4. Step 4: Simplify right side
    7,769.01x = 45,374,367.04
  5. Step 5: Solve for x
    x = 45,374,367.04/7,769.01
  6. Step 6: Final answer
    x = 5,840.43

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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.