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Finding the Fourth Proportional to 7,622.59, 11,413.86 and 6,133.90

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Solution

The fourth proportional to 7,622.59, 11,413.86 and 6,133.90 is: 9,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622.59 : 11,413.86 = 6,133.90 : x
  2. Step 2: Convert to fraction form
    7,622.59/11,413.86 = 6,133.90/x
  3. Step 3: Cross multiply
    7,622.59x = 11,413.86 × 6,133.90
  4. Step 4: Simplify right side
    7,622.59x = 70,011,475.85
  5. Step 5: Solve for x
    x = 70,011,475.85/7,622.59
  6. Step 6: Final answer
    x = 9,184.74

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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.