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Finding the Fourth Proportional to 7,096.66, 10,645.17 and 2,166.35

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Solution

The fourth proportional to 7,096.66, 10,645.17 and 2,166.35 is: 3,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.66 : 10,645.17 = 2,166.35 : x
  2. Step 2: Convert to fraction form
    7,096.66/10,645.17 = 2,166.35/x
  3. Step 3: Cross multiply
    7,096.66x = 10,645.17 × 2,166.35
  4. Step 4: Simplify right side
    7,096.66x = 23,061,114.87
  5. Step 5: Solve for x
    x = 23,061,114.87/7,096.66
  6. Step 6: Final answer
    x = 3,249.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.