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Finding the Fourth Proportional to 14,731, 22,097.58 and 5,497

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Solution

The fourth proportional to 14,731, 22,097.58 and 5,497 is: 8,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,731 : 22,097.58 = 5,497 : x
  2. Step 2: Convert to fraction form
    14,731/22,097.58 = 5,497/x
  3. Step 3: Cross multiply
    14,731x = 22,097.58 × 5,497
  4. Step 4: Simplify right side
    14,731x = 121,470,397.26
  5. Step 5: Solve for x
    x = 121,470,397.26/14,731
  6. Step 6: Final answer
    x = 8,245.90

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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.