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Finding the Fourth Proportional to 6,349.68, 9,525.04 and 1,669.68

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Solution

The fourth proportional to 6,349.68, 9,525.04 and 1,669.68 is: 2,504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.68 : 9,525.04 = 1,669.68 : x
  2. Step 2: Convert to fraction form
    6,349.68/9,525.04 = 1,669.68/x
  3. Step 3: Cross multiply
    6,349.68x = 9,525.04 × 1,669.68
  4. Step 4: Simplify right side
    6,349.68x = 15,903,768.79
  5. Step 5: Solve for x
    x = 15,903,768.79/6,349.68
  6. Step 6: Final answer
    x = 2,504.66

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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.