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Finding the Fourth Proportional to 7,162.92, 10,742.70 and 3,463.32

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Solution

The fourth proportional to 7,162.92, 10,742.70 and 3,463.32 is: 5,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.92 : 10,742.70 = 3,463.32 : x
  2. Step 2: Convert to fraction form
    7,162.92/10,742.70 = 3,463.32/x
  3. Step 3: Cross multiply
    7,162.92x = 10,742.70 × 3,463.32
  4. Step 4: Simplify right side
    7,162.92x = 37,205,407.76
  5. Step 5: Solve for x
    x = 37,205,407.76/7,162.92
  6. Step 6: Final answer
    x = 5,194.17

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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.