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Finding the Fourth Proportional to 7,171.84, 9,896.54 and 3,985.23

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Solution

The fourth proportional to 7,171.84, 9,896.54 and 3,985.23 is: 5,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.84 : 9,896.54 = 3,985.23 : x
  2. Step 2: Convert to fraction form
    7,171.84/9,896.54 = 3,985.23/x
  3. Step 3: Cross multiply
    7,171.84x = 9,896.54 × 3,985.23
  4. Step 4: Simplify right side
    7,171.84x = 39,439,938.62
  5. Step 5: Solve for x
    x = 39,439,938.62/7,171.84
  6. Step 6: Final answer
    x = 5,499.28

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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.