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Finding the Fourth Proportional to 6,957.20, 10,435.80 and 2,277.20

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Solution

The fourth proportional to 6,957.20, 10,435.80 and 2,277.20 is: 3,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.20 : 10,435.80 = 2,277.20 : x
  2. Step 2: Convert to fraction form
    6,957.20/10,435.80 = 2,277.20/x
  3. Step 3: Cross multiply
    6,957.20x = 10,435.80 × 2,277.20
  4. Step 4: Simplify right side
    6,957.20x = 23,764,403.76
  5. Step 5: Solve for x
    x = 23,764,403.76/6,957.20
  6. Step 6: Final answer
    x = 3,415.80

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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.