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Finding the Fourth Proportional to 10,413.16, 14,363.94 and 9,013.48

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Solution

The fourth proportional to 10,413.16, 14,363.94 and 9,013.48 is: 12,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.16 : 14,363.94 = 9,013.48 : x
  2. Step 2: Convert to fraction form
    10,413.16/14,363.94 = 9,013.48/x
  3. Step 3: Cross multiply
    10,413.16x = 14,363.94 × 9,013.48
  4. Step 4: Simplify right side
    10,413.16x = 129,469,085.91
  5. Step 5: Solve for x
    x = 129,469,085.91/10,413.16
  6. Step 6: Final answer
    x = 12,433.22

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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.