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Finding the Fourth Proportional to 7,708.14, 11,564.01 and 2,514

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Solution

The fourth proportional to 7,708.14, 11,564.01 and 2,514 is: 3,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.14 : 11,564.01 = 2,514 : x
  2. Step 2: Convert to fraction form
    7,708.14/11,564.01 = 2,514/x
  3. Step 3: Cross multiply
    7,708.14x = 11,564.01 × 2,514
  4. Step 4: Simplify right side
    7,708.14x = 29,071,921.14
  5. Step 5: Solve for x
    x = 29,071,921.14/7,708.14
  6. Step 6: Final answer
    x = 3,771.59

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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.