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Finding the Fourth Proportional to 6,524.65, 9,786.98 and 1,594.23

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Solution

The fourth proportional to 6,524.65, 9,786.98 and 1,594.23 is: 2,391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.65 : 9,786.98 = 1,594.23 : x
  2. Step 2: Convert to fraction form
    6,524.65/9,786.98 = 1,594.23/x
  3. Step 3: Cross multiply
    6,524.65x = 9,786.98 × 1,594.23
  4. Step 4: Simplify right side
    6,524.65x = 15,602,710.49
  5. Step 5: Solve for x
    x = 15,602,710.49/6,524.65
  6. Step 6: Final answer
    x = 2,391.35

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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.