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Finding the Fourth Proportional to 6,944.94, 9,582.12 and 3,959.69

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Solution

The fourth proportional to 6,944.94, 9,582.12 and 3,959.69 is: 5,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.94 : 9,582.12 = 3,959.69 : x
  2. Step 2: Convert to fraction form
    6,944.94/9,582.12 = 3,959.69/x
  3. Step 3: Cross multiply
    6,944.94x = 9,582.12 × 3,959.69
  4. Step 4: Simplify right side
    6,944.94x = 37,942,176.83
  5. Step 5: Solve for x
    x = 37,942,176.83/6,944.94
  6. Step 6: Final answer
    x = 5,463.28

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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.