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Finding the Fourth Proportional to 6,909.52, 10,355.92 and 4,905.06

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Solution

The fourth proportional to 6,909.52, 10,355.92 and 4,905.06 is: 7,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.52 : 10,355.92 = 4,905.06 : x
  2. Step 2: Convert to fraction form
    6,909.52/10,355.92 = 4,905.06/x
  3. Step 3: Cross multiply
    6,909.52x = 10,355.92 × 4,905.06
  4. Step 4: Simplify right side
    6,909.52x = 50,796,413.10
  5. Step 5: Solve for x
    x = 50,796,413.10/6,909.52
  6. Step 6: Final answer
    x = 7,351.65

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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.