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Finding the Fourth Proportional to 6,853.95, 10,282.47 and 2,174.24

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Solution

The fourth proportional to 6,853.95, 10,282.47 and 2,174.24 is: 3,261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.95 : 10,282.47 = 2,174.24 : x
  2. Step 2: Convert to fraction form
    6,853.95/10,282.47 = 2,174.24/x
  3. Step 3: Cross multiply
    6,853.95x = 10,282.47 × 2,174.24
  4. Step 4: Simplify right side
    6,853.95x = 22,356,506.16
  5. Step 5: Solve for x
    x = 22,356,506.16/6,853.95
  6. Step 6: Final answer
    x = 3,261.84

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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.