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Finding the Fourth Proportional to 7,237.69, 10,838.04 and 6,413.52

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Solution

The fourth proportional to 7,237.69, 10,838.04 and 6,413.52 is: 9,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.69 : 10,838.04 = 6,413.52 : x
  2. Step 2: Convert to fraction form
    7,237.69/10,838.04 = 6,413.52/x
  3. Step 3: Cross multiply
    7,237.69x = 10,838.04 × 6,413.52
  4. Step 4: Simplify right side
    7,237.69x = 69,509,986.30
  5. Step 5: Solve for x
    x = 69,509,986.30/7,237.69
  6. Step 6: Final answer
    x = 9,603.89

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1.5x scale

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.