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Finding the Fourth Proportional to 6,853.81, 10,280.71 and 2,580.33

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Solution

The fourth proportional to 6,853.81, 10,280.71 and 2,580.33 is: 3,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.81 : 10,280.71 = 2,580.33 : x
  2. Step 2: Convert to fraction form
    6,853.81/10,280.71 = 2,580.33/x
  3. Step 3: Cross multiply
    6,853.81x = 10,280.71 × 2,580.33
  4. Step 4: Simplify right side
    6,853.81x = 26,527,624.43
  5. Step 5: Solve for x
    x = 26,527,624.43/6,853.81
  6. Step 6: Final answer
    x = 3,870.49

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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.