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Finding the Fourth Proportional to 6,144.05, 8,482.01 and 4,138.02

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Solution

The fourth proportional to 6,144.05, 8,482.01 and 4,138.02 is: 5,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.05 : 8,482.01 = 4,138.02 : x
  2. Step 2: Convert to fraction form
    6,144.05/8,482.01 = 4,138.02/x
  3. Step 3: Cross multiply
    6,144.05x = 8,482.01 × 4,138.02
  4. Step 4: Simplify right side
    6,144.05x = 35,098,706.33
  5. Step 5: Solve for x
    x = 35,098,706.33/6,144.05
  6. Step 6: Final answer
    x = 5,712.64

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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.