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Finding the Fourth Proportional to 4,843.84, 6,685.80 and 4,549.81

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Solution

The fourth proportional to 4,843.84, 6,685.80 and 4,549.81 is: 6,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.84 : 6,685.80 = 4,549.81 : x
  2. Step 2: Convert to fraction form
    4,843.84/6,685.80 = 4,549.81/x
  3. Step 3: Cross multiply
    4,843.84x = 6,685.80 × 4,549.81
  4. Step 4: Simplify right side
    4,843.84x = 30,419,119.70
  5. Step 5: Solve for x
    x = 30,419,119.70/4,843.84
  6. Step 6: Final answer
    x = 6,279.96

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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.