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Finding the Fourth Proportional to 6,405.08, 9,606.45 and 1,724

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Solution

The fourth proportional to 6,405.08, 9,606.45 and 1,724 is: 2,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.08 : 9,606.45 = 1,724 : x
  2. Step 2: Convert to fraction form
    6,405.08/9,606.45 = 1,724/x
  3. Step 3: Cross multiply
    6,405.08x = 9,606.45 × 1,724
  4. Step 4: Simplify right side
    6,405.08x = 16,561,519.80
  5. Step 5: Solve for x
    x = 16,561,519.80/6,405.08
  6. Step 6: Final answer
    x = 2,585.69

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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.