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Finding the Fourth Proportional to 6,065.88, 9,090.27 and 4,827.78

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Solution

The fourth proportional to 6,065.88, 9,090.27 and 4,827.78 is: 7,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.88 : 9,090.27 = 4,827.78 : x
  2. Step 2: Convert to fraction form
    6,065.88/9,090.27 = 4,827.78/x
  3. Step 3: Cross multiply
    6,065.88x = 9,090.27 × 4,827.78
  4. Step 4: Simplify right side
    6,065.88x = 43,885,823.70
  5. Step 5: Solve for x
    x = 43,885,823.70/6,065.88
  6. Step 6: Final answer
    x = 7,234.87

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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.