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Finding the Fourth Proportional to 10,171.84, 15,249.93 and 4,904.14

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Solution

The fourth proportional to 10,171.84, 15,249.93 and 4,904.14 is: 7,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.84 : 15,249.93 = 4,904.14 : x
  2. Step 2: Convert to fraction form
    10,171.84/15,249.93 = 4,904.14/x
  3. Step 3: Cross multiply
    10,171.84x = 15,249.93 × 4,904.14
  4. Step 4: Simplify right side
    10,171.84x = 74,787,791.71
  5. Step 5: Solve for x
    x = 74,787,791.71/10,171.84
  6. Step 6: Final answer
    x = 7,352.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.