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Finding the Fourth Proportional to 10,444.92, 14,413.92 and 5,729.22

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Solution

The fourth proportional to 10,444.92, 14,413.92 and 5,729.22 is: 7,906.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.92 : 14,413.92 = 5,729.22 : x
  2. Step 2: Convert to fraction form
    10,444.92/14,413.92 = 5,729.22/x
  3. Step 3: Cross multiply
    10,444.92x = 14,413.92 × 5,729.22
  4. Step 4: Simplify right side
    10,444.92x = 82,580,518.74
  5. Step 5: Solve for x
    x = 82,580,518.74/10,444.92
  6. Step 6: Final answer
    x = 7,906.29

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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.