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Finding the Fourth Proportional to 6,898.62, 9,516.06 and 5,008

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Solution

The fourth proportional to 6,898.62, 9,516.06 and 5,008 is: 6,908.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.62 : 9,516.06 = 5,008 : x
  2. Step 2: Convert to fraction form
    6,898.62/9,516.06 = 5,008/x
  3. Step 3: Cross multiply
    6,898.62x = 9,516.06 × 5,008
  4. Step 4: Simplify right side
    6,898.62x = 47,656,428.48
  5. Step 5: Solve for x
    x = 47,656,428.48/6,898.62
  6. Step 6: Final answer
    x = 6,908.11

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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.