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Finding the Fourth Proportional to 7,171.99, 9,896.48 and 3,985.27

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Solution

The fourth proportional to 7,171.99, 9,896.48 and 3,985.27 is: 5,499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.99 : 9,896.48 = 3,985.27 : x
  2. Step 2: Convert to fraction form
    7,171.99/9,896.48 = 3,985.27/x
  3. Step 3: Cross multiply
    7,171.99x = 9,896.48 × 3,985.27
  4. Step 4: Simplify right side
    7,171.99x = 39,440,115.13
  5. Step 5: Solve for x
    x = 39,440,115.13/7,171.99
  6. Step 6: Final answer
    x = 5,499.19

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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.