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Finding the Fourth Proportional to 7,820.54, 10,797.36 and 6,979.80

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Solution

The fourth proportional to 7,820.54, 10,797.36 and 6,979.80 is: 9,636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.54 : 10,797.36 = 6,979.80 : x
  2. Step 2: Convert to fraction form
    7,820.54/10,797.36 = 6,979.80/x
  3. Step 3: Cross multiply
    7,820.54x = 10,797.36 × 6,979.80
  4. Step 4: Simplify right side
    7,820.54x = 75,363,413.33
  5. Step 5: Solve for x
    x = 75,363,413.33/7,820.54
  6. Step 6: Final answer
    x = 9,636.60

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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.