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Finding the Fourth Proportional to 6,150, 9,223.62 and 2,987.34

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Solution

The fourth proportional to 6,150, 9,223.62 and 2,987.34 is: 4,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150 : 9,223.62 = 2,987.34 : x
  2. Step 2: Convert to fraction form
    6,150/9,223.62 = 2,987.34/x
  3. Step 3: Cross multiply
    6,150x = 9,223.62 × 2,987.34
  4. Step 4: Simplify right side
    6,150x = 27,554,088.97
  5. Step 5: Solve for x
    x = 27,554,088.97/6,150
  6. Step 6: Final answer
    x = 4,480.34

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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.