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Finding the Fourth Proportional to 7,162.47, 10,742.22 and 1,967.13

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Solution

The fourth proportional to 7,162.47, 10,742.22 and 1,967.13 is: 2,950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.47 : 10,742.22 = 1,967.13 : x
  2. Step 2: Convert to fraction form
    7,162.47/10,742.22 = 1,967.13/x
  3. Step 3: Cross multiply
    7,162.47x = 10,742.22 × 1,967.13
  4. Step 4: Simplify right side
    7,162.47x = 21,131,343.23
  5. Step 5: Solve for x
    x = 21,131,343.23/7,162.47
  6. Step 6: Final answer
    x = 2,950.29

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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.