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Finding the Fourth Proportional to 6,169.92, 9,256.22 and 2,881.22

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Solution

The fourth proportional to 6,169.92, 9,256.22 and 2,881.22 is: 4,322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.92 : 9,256.22 = 2,881.22 : x
  2. Step 2: Convert to fraction form
    6,169.92/9,256.22 = 2,881.22/x
  3. Step 3: Cross multiply
    6,169.92x = 9,256.22 × 2,881.22
  4. Step 4: Simplify right side
    6,169.92x = 26,669,224.58
  5. Step 5: Solve for x
    x = 26,669,224.58/6,169.92
  6. Step 6: Final answer
    x = 4,322.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.