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Finding the Fourth Proportional to 7,764.81, 10,713.11 and 7,016.37

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Solution

The fourth proportional to 7,764.81, 10,713.11 and 7,016.37 is: 9,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.81 : 10,713.11 = 7,016.37 : x
  2. Step 2: Convert to fraction form
    7,764.81/10,713.11 = 7,016.37/x
  3. Step 3: Cross multiply
    7,764.81x = 10,713.11 × 7,016.37
  4. Step 4: Simplify right side
    7,764.81x = 75,167,108.53
  5. Step 5: Solve for x
    x = 75,167,108.53/7,764.81
  6. Step 6: Final answer
    x = 9,680.48

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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.