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Finding the Fourth Proportional to 7,151.58, 10,727.40 and 1,957.44

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Solution

The fourth proportional to 7,151.58, 10,727.40 and 1,957.44 is: 2,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.58 : 10,727.40 = 1,957.44 : x
  2. Step 2: Convert to fraction form
    7,151.58/10,727.40 = 1,957.44/x
  3. Step 3: Cross multiply
    7,151.58x = 10,727.40 × 1,957.44
  4. Step 4: Simplify right side
    7,151.58x = 20,998,241.86
  5. Step 5: Solve for x
    x = 20,998,241.86/7,151.58
  6. Step 6: Final answer
    x = 2,936.17

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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.