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Finding the Fourth Proportional to 10,097.29, 13,935.01 and 5,849.49

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Solution

The fourth proportional to 10,097.29, 13,935.01 and 5,849.49 is: 8,072.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.29 : 13,935.01 = 5,849.49 : x
  2. Step 2: Convert to fraction form
    10,097.29/13,935.01 = 5,849.49/x
  3. Step 3: Cross multiply
    10,097.29x = 13,935.01 × 5,849.49
  4. Step 4: Simplify right side
    10,097.29x = 81,512,701.64
  5. Step 5: Solve for x
    x = 81,512,701.64/10,097.29
  6. Step 6: Final answer
    x = 8,072.73

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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.