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Finding the Fourth Proportional to 6,617.64, 9,926.16 and 2,235

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Solution

The fourth proportional to 6,617.64, 9,926.16 and 2,235 is: 3,352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.64 : 9,926.16 = 2,235 : x
  2. Step 2: Convert to fraction form
    6,617.64/9,926.16 = 2,235/x
  3. Step 3: Cross multiply
    6,617.64x = 9,926.16 × 2,235
  4. Step 4: Simplify right side
    6,617.64x = 22,184,967.60
  5. Step 5: Solve for x
    x = 22,184,967.60/6,617.64
  6. Step 6: Final answer
    x = 3,352.40

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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.