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Finding the Fourth Proportional to 4,871.76, 6,690.63 and 4,084.44

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Solution

The fourth proportional to 4,871.76, 6,690.63 and 4,084.44 is: 5,609.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.76 : 6,690.63 = 4,084.44 : x
  2. Step 2: Convert to fraction form
    4,871.76/6,690.63 = 4,084.44/x
  3. Step 3: Cross multiply
    4,871.76x = 6,690.63 × 4,084.44
  4. Step 4: Simplify right side
    4,871.76x = 27,327,476.80
  5. Step 5: Solve for x
    x = 27,327,476.80/4,871.76
  6. Step 6: Final answer
    x = 5,609.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.