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Finding the Fourth Proportional to 5,967.89, 8,225.78 and 5,248.23

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Solution

The fourth proportional to 5,967.89, 8,225.78 and 5,248.23 is: 7,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.89 : 8,225.78 = 5,248.23 : x
  2. Step 2: Convert to fraction form
    5,967.89/8,225.78 = 5,248.23/x
  3. Step 3: Cross multiply
    5,967.89x = 8,225.78 × 5,248.23
  4. Step 4: Simplify right side
    5,967.89x = 43,170,759.13
  5. Step 5: Solve for x
    x = 43,170,759.13/5,967.89
  6. Step 6: Final answer
    x = 7,233.85

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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.