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Finding the Fourth Proportional to 6,798.66, 10,199 and 2,415.74

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Solution

The fourth proportional to 6,798.66, 10,199 and 2,415.74 is: 3,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.66 : 10,199 = 2,415.74 : x
  2. Step 2: Convert to fraction form
    6,798.66/10,199 = 2,415.74/x
  3. Step 3: Cross multiply
    6,798.66x = 10,199 × 2,415.74
  4. Step 4: Simplify right side
    6,798.66x = 24,638,132.26
  5. Step 5: Solve for x
    x = 24,638,132.26/6,798.66
  6. Step 6: Final answer
    x = 3,623.97

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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.