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Finding the Fourth Proportional to 13,769.73, 19,001.97 and 7,482.15

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Solution

The fourth proportional to 13,769.73, 19,001.97 and 7,482.15 is: 10,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.73 : 19,001.97 = 7,482.15 : x
  2. Step 2: Convert to fraction form
    13,769.73/19,001.97 = 7,482.15/x
  3. Step 3: Cross multiply
    13,769.73x = 19,001.97 × 7,482.15
  4. Step 4: Simplify right side
    13,769.73x = 142,175,589.84
  5. Step 5: Solve for x
    x = 142,175,589.84/13,769.73
  6. Step 6: Final answer
    x = 10,325.23

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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.