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Finding the Fourth Proportional to 12,618.31, 17,413.09 and 6,952.94

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Solution

The fourth proportional to 12,618.31, 17,413.09 and 6,952.94 is: 9,594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,618.31 : 17,413.09 = 6,952.94 : x
  2. Step 2: Convert to fraction form
    12,618.31/17,413.09 = 6,952.94/x
  3. Step 3: Cross multiply
    12,618.31x = 17,413.09 × 6,952.94
  4. Step 4: Simplify right side
    12,618.31x = 121,072,169.98
  5. Step 5: Solve for x
    x = 121,072,169.98/12,618.31
  6. Step 6: Final answer
    x = 9,594.96

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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.