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Finding the Fourth Proportional to 6,572.34, 9,858.51 and 2,676.78

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Solution

The fourth proportional to 6,572.34, 9,858.51 and 2,676.78 is: 4,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.34 : 9,858.51 = 2,676.78 : x
  2. Step 2: Convert to fraction form
    6,572.34/9,858.51 = 2,676.78/x
  3. Step 3: Cross multiply
    6,572.34x = 9,858.51 × 2,676.78
  4. Step 4: Simplify right side
    6,572.34x = 26,389,062.40
  5. Step 5: Solve for x
    x = 26,389,062.40/6,572.34
  6. Step 6: Final answer
    x = 4,015.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.