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Finding the Fourth Proportional to 6,957.52, 10,435.14 and 2,277.46

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Solution

The fourth proportional to 6,957.52, 10,435.14 and 2,277.46 is: 3,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.52 : 10,435.14 = 2,277.46 : x
  2. Step 2: Convert to fraction form
    6,957.52/10,435.14 = 2,277.46/x
  3. Step 3: Cross multiply
    6,957.52x = 10,435.14 × 2,277.46
  4. Step 4: Simplify right side
    6,957.52x = 23,765,587.86
  5. Step 5: Solve for x
    x = 23,765,587.86/6,957.52
  6. Step 6: Final answer
    x = 3,415.81

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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.