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Finding the Fourth Proportional to 6,967.94, 9,628.22 and 5,182.62

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Solution

The fourth proportional to 6,967.94, 9,628.22 and 5,182.62 is: 7,161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.94 : 9,628.22 = 5,182.62 : x
  2. Step 2: Convert to fraction form
    6,967.94/9,628.22 = 5,182.62/x
  3. Step 3: Cross multiply
    6,967.94x = 9,628.22 × 5,182.62
  4. Step 4: Simplify right side
    6,967.94x = 49,899,405.54
  5. Step 5: Solve for x
    x = 49,899,405.54/6,967.94
  6. Step 6: Final answer
    x = 7,161.29

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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.