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Finding the Fourth Proportional to 14,371.87, 21,550.50 and 6,574

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Solution

The fourth proportional to 14,371.87, 21,550.50 and 6,574 is: 9,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,371.87 : 21,550.50 = 6,574 : x
  2. Step 2: Convert to fraction form
    14,371.87/21,550.50 = 6,574/x
  3. Step 3: Cross multiply
    14,371.87x = 21,550.50 × 6,574
  4. Step 4: Simplify right side
    14,371.87x = 141,672,987
  5. Step 5: Solve for x
    x = 141,672,987/14,371.87
  6. Step 6: Final answer
    x = 9,857.66

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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.