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Finding the Fourth Proportional to 6,898.81, 10,352.37 and 2,516.65

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Solution

The fourth proportional to 6,898.81, 10,352.37 and 2,516.65 is: 3,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.81 : 10,352.37 = 2,516.65 : x
  2. Step 2: Convert to fraction form
    6,898.81/10,352.37 = 2,516.65/x
  3. Step 3: Cross multiply
    6,898.81x = 10,352.37 × 2,516.65
  4. Step 4: Simplify right side
    6,898.81x = 26,053,291.96
  5. Step 5: Solve for x
    x = 26,053,291.96/6,898.81
  6. Step 6: Final answer
    x = 3,776.49

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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.