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Finding the Fourth Proportional to 14,796, 22,200.89 and 6,474.92

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Solution

The fourth proportional to 14,796, 22,200.89 and 6,474.92 is: 9,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796 : 22,200.89 = 6,474.92 : x
  2. Step 2: Convert to fraction form
    14,796/22,200.89 = 6,474.92/x
  3. Step 3: Cross multiply
    14,796x = 22,200.89 × 6,474.92
  4. Step 4: Simplify right side
    14,796x = 143,748,843.30
  5. Step 5: Solve for x
    x = 143,748,843.30/14,796
  6. Step 6: Final answer
    x = 9,715.39

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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.