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Finding the Fourth Proportional to 12,663.80, 18,995 and 3,897.58

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Solution

The fourth proportional to 12,663.80, 18,995 and 3,897.58 is: 5,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.80 : 18,995 = 3,897.58 : x
  2. Step 2: Convert to fraction form
    12,663.80/18,995 = 3,897.58/x
  3. Step 3: Cross multiply
    12,663.80x = 18,995 × 3,897.58
  4. Step 4: Simplify right side
    12,663.80x = 74,034,532.10
  5. Step 5: Solve for x
    x = 74,034,532.10/12,663.80
  6. Step 6: Final answer
    x = 5,846.15

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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.