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Finding the Fourth Proportional to 6,825.29, 10,245.08 and 6,050.25

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Solution

The fourth proportional to 6,825.29, 10,245.08 and 6,050.25 is: 9,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.29 : 10,245.08 = 6,050.25 : x
  2. Step 2: Convert to fraction form
    6,825.29/10,245.08 = 6,050.25/x
  3. Step 3: Cross multiply
    6,825.29x = 10,245.08 × 6,050.25
  4. Step 4: Simplify right side
    6,825.29x = 61,985,310.40
  5. Step 5: Solve for x
    x = 61,985,310.40/6,825.29
  6. Step 6: Final answer
    x = 9,081.72

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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.