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Finding the Fourth Proportional to 12,648.53, 18,967.53 and 4,326.86

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Solution

The fourth proportional to 12,648.53, 18,967.53 and 4,326.86 is: 6,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.53 : 18,967.53 = 4,326.86 : x
  2. Step 2: Convert to fraction form
    12,648.53/18,967.53 = 4,326.86/x
  3. Step 3: Cross multiply
    12,648.53x = 18,967.53 × 4,326.86
  4. Step 4: Simplify right side
    12,648.53x = 82,069,846.86
  5. Step 5: Solve for x
    x = 82,069,846.86/12,648.53
  6. Step 6: Final answer
    x = 6,488.49

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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.