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Finding the Fourth Proportional to 13,837.71, 19,096.03 and 7,550.09

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Solution

The fourth proportional to 13,837.71, 19,096.03 and 7,550.09 is: 10,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837.71 : 19,096.03 = 7,550.09 : x
  2. Step 2: Convert to fraction form
    13,837.71/19,096.03 = 7,550.09/x
  3. Step 3: Cross multiply
    13,837.71x = 19,096.03 × 7,550.09
  4. Step 4: Simplify right side
    13,837.71x = 144,176,694.91
  5. Step 5: Solve for x
    x = 144,176,694.91/13,837.71
  6. Step 6: Final answer
    x = 10,419.11

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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.