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Finding the Fourth Proportional to 7,171.53, 9,896.56 and 3,984.81

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Solution

The fourth proportional to 7,171.53, 9,896.56 and 3,984.81 is: 5,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.53 : 9,896.56 = 3,984.81 : x
  2. Step 2: Convert to fraction form
    7,171.53/9,896.56 = 3,984.81/x
  3. Step 3: Cross multiply
    7,171.53x = 9,896.56 × 3,984.81
  4. Step 4: Simplify right side
    7,171.53x = 39,435,911.25
  5. Step 5: Solve for x
    x = 39,435,911.25/7,171.53
  6. Step 6: Final answer
    x = 5,498.95

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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.