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Finding the Fourth Proportional to 12,644.74, 18,957.72 and 6,064.66

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Solution

The fourth proportional to 12,644.74, 18,957.72 and 6,064.66 is: 9,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.74 : 18,957.72 = 6,064.66 : x
  2. Step 2: Convert to fraction form
    12,644.74/18,957.72 = 6,064.66/x
  3. Step 3: Cross multiply
    12,644.74x = 18,957.72 × 6,064.66
  4. Step 4: Simplify right side
    12,644.74x = 114,972,126.18
  5. Step 5: Solve for x
    x = 114,972,126.18/12,644.74
  6. Step 6: Final answer
    x = 9,092.49

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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.