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Finding the Fourth Proportional to 7,104.25, 10,658 and 2,174.28

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Solution

The fourth proportional to 7,104.25, 10,658 and 2,174.28 is: 3,261.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.25 : 10,658 = 2,174.28 : x
  2. Step 2: Convert to fraction form
    7,104.25/10,658 = 2,174.28/x
  3. Step 3: Cross multiply
    7,104.25x = 10,658 × 2,174.28
  4. Step 4: Simplify right side
    7,104.25x = 23,173,476.24
  5. Step 5: Solve for x
    x = 23,173,476.24/7,104.25
  6. Step 6: Final answer
    x = 3,261.92

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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.