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Finding the Fourth Proportional to 6,558.72, 9,834.24 and 2,175

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Solution

The fourth proportional to 6,558.72, 9,834.24 and 2,175 is: 3,261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.72 : 9,834.24 = 2,175 : x
  2. Step 2: Convert to fraction form
    6,558.72/9,834.24 = 2,175/x
  3. Step 3: Cross multiply
    6,558.72x = 9,834.24 × 2,175
  4. Step 4: Simplify right side
    6,558.72x = 21,389,472
  5. Step 5: Solve for x
    x = 21,389,472/6,558.72
  6. Step 6: Final answer
    x = 3,261.23

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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.