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Finding the Fourth Proportional to 6,151.84, 9,229.04 and 2,256.32

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Solution

The fourth proportional to 6,151.84, 9,229.04 and 2,256.32 is: 3,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.84 : 9,229.04 = 2,256.32 : x
  2. Step 2: Convert to fraction form
    6,151.84/9,229.04 = 2,256.32/x
  3. Step 3: Cross multiply
    6,151.84x = 9,229.04 × 2,256.32
  4. Step 4: Simplify right side
    6,151.84x = 20,823,667.53
  5. Step 5: Solve for x
    x = 20,823,667.53/6,151.84
  6. Step 6: Final answer
    x = 3,384.95

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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.