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Finding the Fourth Proportional to 6,144.93, 8,473.01 and 4,949.37

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Solution

The fourth proportional to 6,144.93, 8,473.01 and 4,949.37 is: 6,824.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.93 : 8,473.01 = 4,949.37 : x
  2. Step 2: Convert to fraction form
    6,144.93/8,473.01 = 4,949.37/x
  3. Step 3: Cross multiply
    6,144.93x = 8,473.01 × 4,949.37
  4. Step 4: Simplify right side
    6,144.93x = 41,936,036.76
  5. Step 5: Solve for x
    x = 41,936,036.76/6,144.93
  6. Step 6: Final answer
    x = 6,824.49

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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.