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Finding the Fourth Proportional to 6,505.64, 9,763.99 and 2,559.66

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Solution

The fourth proportional to 6,505.64, 9,763.99 and 2,559.66 is: 3,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.64 : 9,763.99 = 2,559.66 : x
  2. Step 2: Convert to fraction form
    6,505.64/9,763.99 = 2,559.66/x
  3. Step 3: Cross multiply
    6,505.64x = 9,763.99 × 2,559.66
  4. Step 4: Simplify right side
    6,505.64x = 24,992,451.63
  5. Step 5: Solve for x
    x = 24,992,451.63/6,505.64
  6. Step 6: Final answer
    x = 3,841.66

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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.