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Finding the Fourth Proportional to 9,413.69, 12,980.24 and 6,006.14

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Solution

The fourth proportional to 9,413.69, 12,980.24 and 6,006.14 is: 8,281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.69 : 12,980.24 = 6,006.14 : x
  2. Step 2: Convert to fraction form
    9,413.69/12,980.24 = 6,006.14/x
  3. Step 3: Cross multiply
    9,413.69x = 12,980.24 × 6,006.14
  4. Step 4: Simplify right side
    9,413.69x = 77,961,131.17
  5. Step 5: Solve for x
    x = 77,961,131.17/9,413.69
  6. Step 6: Final answer
    x = 8,281.68

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1.5x scale

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.