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Finding the Fourth Proportional to 7,824.01, 11,737.49 and 3,144.40

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Solution

The fourth proportional to 7,824.01, 11,737.49 and 3,144.40 is: 4,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.01 : 11,737.49 = 3,144.40 : x
  2. Step 2: Convert to fraction form
    7,824.01/11,737.49 = 3,144.40/x
  3. Step 3: Cross multiply
    7,824.01x = 11,737.49 × 3,144.40
  4. Step 4: Simplify right side
    7,824.01x = 36,907,304.87
  5. Step 5: Solve for x
    x = 36,907,304.87/7,824.01
  6. Step 6: Final answer
    x = 4,717.19

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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.