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Finding the Fourth Proportional to 7,722.88, 10,649.12 and 6,976.64

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Solution

The fourth proportional to 7,722.88, 10,649.12 and 6,976.64 is: 9,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.88 : 10,649.12 = 6,976.64 : x
  2. Step 2: Convert to fraction form
    7,722.88/10,649.12 = 6,976.64/x
  3. Step 3: Cross multiply
    7,722.88x = 10,649.12 × 6,976.64
  4. Step 4: Simplify right side
    7,722.88x = 74,295,076.56
  5. Step 5: Solve for x
    x = 74,295,076.56/7,722.88
  6. Step 6: Final answer
    x = 9,620.13

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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.