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Finding the Fourth Proportional to 6,504, 9,749.52 and 3,583.68

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Solution

The fourth proportional to 6,504, 9,749.52 and 3,583.68 is: 5,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504 : 9,749.52 = 3,583.68 : x
  2. Step 2: Convert to fraction form
    6,504/9,749.52 = 3,583.68/x
  3. Step 3: Cross multiply
    6,504x = 9,749.52 × 3,583.68
  4. Step 4: Simplify right side
    6,504x = 34,939,159.83
  5. Step 5: Solve for x
    x = 34,939,159.83/6,504
  6. Step 6: Final answer
    x = 5,371.95

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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.