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Finding the Fourth Proportional to 10,614.76, 14,644.58 and 7,297

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Solution

The fourth proportional to 10,614.76, 14,644.58 and 7,297 is: 10,067.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.76 : 14,644.58 = 7,297 : x
  2. Step 2: Convert to fraction form
    10,614.76/14,644.58 = 7,297/x
  3. Step 3: Cross multiply
    10,614.76x = 14,644.58 × 7,297
  4. Step 4: Simplify right side
    10,614.76x = 106,861,500.26
  5. Step 5: Solve for x
    x = 106,861,500.26/10,614.76
  6. Step 6: Final answer
    x = 10,067.26

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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.