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Finding the Fourth Proportional to 7,174.84, 9,902.88 and 3,989.25

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Solution

The fourth proportional to 7,174.84, 9,902.88 and 3,989.25 is: 5,506.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.84 : 9,902.88 = 3,989.25 : x
  2. Step 2: Convert to fraction form
    7,174.84/9,902.88 = 3,989.25/x
  3. Step 3: Cross multiply
    7,174.84x = 9,902.88 × 3,989.25
  4. Step 4: Simplify right side
    7,174.84x = 39,505,064.04
  5. Step 5: Solve for x
    x = 39,505,064.04/7,174.84
  6. Step 6: Final answer
    x = 5,506.06

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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.