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Finding the Fourth Proportional to 14,934, 22,403.88 and 6,726

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Solution

The fourth proportional to 14,934, 22,403.88 and 6,726 is: 10,090.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,934 : 22,403.88 = 6,726 : x
  2. Step 2: Convert to fraction form
    14,934/22,403.88 = 6,726/x
  3. Step 3: Cross multiply
    14,934x = 22,403.88 × 6,726
  4. Step 4: Simplify right side
    14,934x = 150,688,496.88
  5. Step 5: Solve for x
    x = 150,688,496.88/14,934
  6. Step 6: Final answer
    x = 10,090.30

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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.