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Finding the Fourth Proportional to 7,202.88, 10,782.45 and 6,962.31

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Solution

The fourth proportional to 7,202.88, 10,782.45 and 6,962.31 is: 10,422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.88 : 10,782.45 = 6,962.31 : x
  2. Step 2: Convert to fraction form
    7,202.88/10,782.45 = 6,962.31/x
  3. Step 3: Cross multiply
    7,202.88x = 10,782.45 × 6,962.31
  4. Step 4: Simplify right side
    7,202.88x = 75,070,759.46
  5. Step 5: Solve for x
    x = 75,070,759.46/7,202.88
  6. Step 6: Final answer
    x = 10,422.33

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1.5x scale

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.