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Finding the Fourth Proportional to 10,097.90, 13,934.97 and 5,849.54

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Solution

The fourth proportional to 10,097.90, 13,934.97 and 5,849.54 is: 8,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.90 : 13,934.97 = 5,849.54 : x
  2. Step 2: Convert to fraction form
    10,097.90/13,934.97 = 5,849.54/x
  3. Step 3: Cross multiply
    10,097.90x = 13,934.97 × 5,849.54
  4. Step 4: Simplify right side
    10,097.90x = 81,513,164.41
  5. Step 5: Solve for x
    x = 81,513,164.41/10,097.90
  6. Step 6: Final answer
    x = 8,072.29

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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.