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Finding the Fourth Proportional to 13,841.81, 19,100.99 and 7,552.97

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Solution

The fourth proportional to 13,841.81, 19,100.99 and 7,552.97 is: 10,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.81 : 19,100.99 = 7,552.97 : x
  2. Step 2: Convert to fraction form
    13,841.81/19,100.99 = 7,552.97/x
  3. Step 3: Cross multiply
    13,841.81x = 19,100.99 × 7,552.97
  4. Step 4: Simplify right side
    13,841.81x = 144,269,166.68
  5. Step 5: Solve for x
    x = 144,269,166.68/13,841.81
  6. Step 6: Final answer
    x = 10,422.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.