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Finding the Fourth Proportional to 6,355.56, 9,534.96 and 2,892

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Solution

The fourth proportional to 6,355.56, 9,534.96 and 2,892 is: 4,338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.56 : 9,534.96 = 2,892 : x
  2. Step 2: Convert to fraction form
    6,355.56/9,534.96 = 2,892/x
  3. Step 3: Cross multiply
    6,355.56x = 9,534.96 × 2,892
  4. Step 4: Simplify right side
    6,355.56x = 27,575,104.32
  5. Step 5: Solve for x
    x = 27,575,104.32/6,355.56
  6. Step 6: Final answer
    x = 4,338.74

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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.