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Finding the Fourth Proportional to 6,504.40, 9,758.27 and 1,824.42

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Solution

The fourth proportional to 6,504.40, 9,758.27 and 1,824.42 is: 2,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.40 : 9,758.27 = 1,824.42 : x
  2. Step 2: Convert to fraction form
    6,504.40/9,758.27 = 1,824.42/x
  3. Step 3: Cross multiply
    6,504.40x = 9,758.27 × 1,824.42
  4. Step 4: Simplify right side
    6,504.40x = 17,803,224.11
  5. Step 5: Solve for x
    x = 17,803,224.11/6,504.40
  6. Step 6: Final answer
    x = 2,737.10

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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.