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Finding the Fourth Proportional to 14,697, 22,045.86 and 3,753

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Solution

The fourth proportional to 14,697, 22,045.86 and 3,753 is: 5,629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697 : 22,045.86 = 3,753 : x
  2. Step 2: Convert to fraction form
    14,697/22,045.86 = 3,753/x
  3. Step 3: Cross multiply
    14,697x = 22,045.86 × 3,753
  4. Step 4: Simplify right side
    14,697x = 82,738,112.58
  5. Step 5: Solve for x
    x = 82,738,112.58/14,697
  6. Step 6: Final answer
    x = 5,629.59

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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.