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Finding the Fourth Proportional to 7,000.28, 9,661.38 and 4,350.56

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Solution

The fourth proportional to 7,000.28, 9,661.38 and 4,350.56 is: 6,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.28 : 9,661.38 = 4,350.56 : x
  2. Step 2: Convert to fraction form
    7,000.28/9,661.38 = 4,350.56/x
  3. Step 3: Cross multiply
    7,000.28x = 9,661.38 × 4,350.56
  4. Step 4: Simplify right side
    7,000.28x = 42,032,413.37
  5. Step 5: Solve for x
    x = 42,032,413.37/7,000.28
  6. Step 6: Final answer
    x = 6,004.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.