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Finding the Fourth Proportional to 6,795.60, 10,193.64 and 2,178

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Solution

The fourth proportional to 6,795.60, 10,193.64 and 2,178 is: 3,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,795.60 : 10,193.64 = 2,178 : x
  2. Step 2: Convert to fraction form
    6,795.60/10,193.64 = 2,178/x
  3. Step 3: Cross multiply
    6,795.60x = 10,193.64 × 2,178
  4. Step 4: Simplify right side
    6,795.60x = 22,201,747.92
  5. Step 5: Solve for x
    x = 22,201,747.92/6,795.60
  6. Step 6: Final answer
    x = 3,267.08

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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.