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Finding the Fourth Proportional to 7,949.97, 10,970.46 and 4,413.20

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Solution

The fourth proportional to 7,949.97, 10,970.46 and 4,413.20 is: 6,089.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.97 : 10,970.46 = 4,413.20 : x
  2. Step 2: Convert to fraction form
    7,949.97/10,970.46 = 4,413.20/x
  3. Step 3: Cross multiply
    7,949.97x = 10,970.46 × 4,413.20
  4. Step 4: Simplify right side
    7,949.97x = 48,414,779.22
  5. Step 5: Solve for x
    x = 48,414,779.22/7,949.97
  6. Step 6: Final answer
    x = 6,089.93

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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.