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Finding the Fourth Proportional to 6,524.94, 9,782.63 and 4,187.58

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Solution

The fourth proportional to 6,524.94, 9,782.63 and 4,187.58 is: 6,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.94 : 9,782.63 = 4,187.58 : x
  2. Step 2: Convert to fraction form
    6,524.94/9,782.63 = 4,187.58/x
  3. Step 3: Cross multiply
    6,524.94x = 9,782.63 × 4,187.58
  4. Step 4: Simplify right side
    6,524.94x = 40,965,545.74
  5. Step 5: Solve for x
    x = 40,965,545.74/6,524.94
  6. Step 6: Final answer
    x = 6,278.30

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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.