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Finding the Fourth Proportional to 11,707.29, 16,153.88 and 6,601.29

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Solution

The fourth proportional to 11,707.29, 16,153.88 and 6,601.29 is: 9,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.29 : 16,153.88 = 6,601.29 : x
  2. Step 2: Convert to fraction form
    11,707.29/16,153.88 = 6,601.29/x
  3. Step 3: Cross multiply
    11,707.29x = 16,153.88 × 6,601.29
  4. Step 4: Simplify right side
    11,707.29x = 106,636,413.50
  5. Step 5: Solve for x
    x = 106,636,413.50/11,707.29
  6. Step 6: Final answer
    x = 9,108.55

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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.