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Finding the Fourth Proportional to 7,095.66, 10,642.14 and 2,163.96

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Solution

The fourth proportional to 7,095.66, 10,642.14 and 2,163.96 is: 3,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.66 : 10,642.14 = 2,163.96 : x
  2. Step 2: Convert to fraction form
    7,095.66/10,642.14 = 2,163.96/x
  3. Step 3: Cross multiply
    7,095.66x = 10,642.14 × 2,163.96
  4. Step 4: Simplify right side
    7,095.66x = 23,029,165.27
  5. Step 5: Solve for x
    x = 23,029,165.27/7,095.66
  6. Step 6: Final answer
    x = 3,245.53

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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.