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Finding the Fourth Proportional to 6,524.49, 9,786.70 and 1,594.13

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Solution

The fourth proportional to 6,524.49, 9,786.70 and 1,594.13 is: 2,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.49 : 9,786.70 = 1,594.13 : x
  2. Step 2: Convert to fraction form
    6,524.49/9,786.70 = 1,594.13/x
  3. Step 3: Cross multiply
    6,524.49x = 9,786.70 × 1,594.13
  4. Step 4: Simplify right side
    6,524.49x = 15,601,272.07
  5. Step 5: Solve for x
    x = 15,601,272.07/6,524.49
  6. Step 6: Final answer
    x = 2,391.19

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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.