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Finding the Fourth Proportional to 6,811.82, 10,158.11 and 6,749.53

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Solution

The fourth proportional to 6,811.82, 10,158.11 and 6,749.53 is: 10,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.82 : 10,158.11 = 6,749.53 : x
  2. Step 2: Convert to fraction form
    6,811.82/10,158.11 = 6,749.53/x
  3. Step 3: Cross multiply
    6,811.82x = 10,158.11 × 6,749.53
  4. Step 4: Simplify right side
    6,811.82x = 68,562,468.19
  5. Step 5: Solve for x
    x = 68,562,468.19/6,811.82
  6. Step 6: Final answer
    x = 10,065.23

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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.