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Finding the Fourth Proportional to 10,171.57, 15,253.81 and 4,834.12

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Solution

The fourth proportional to 10,171.57, 15,253.81 and 4,834.12 is: 7,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.57 : 15,253.81 = 4,834.12 : x
  2. Step 2: Convert to fraction form
    10,171.57/15,253.81 = 4,834.12/x
  3. Step 3: Cross multiply
    10,171.57x = 15,253.81 × 4,834.12
  4. Step 4: Simplify right side
    10,171.57x = 73,738,748.00
  5. Step 5: Solve for x
    x = 73,738,748.00/10,171.57
  6. Step 6: Final answer
    x = 7,249.50

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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.