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Finding the Fourth Proportional to 7,617.30, 11,424.84 and 2,422.50

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Solution

The fourth proportional to 7,617.30, 11,424.84 and 2,422.50 is: 3,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.30 : 11,424.84 = 2,422.50 : x
  2. Step 2: Convert to fraction form
    7,617.30/11,424.84 = 2,422.50/x
  3. Step 3: Cross multiply
    7,617.30x = 11,424.84 × 2,422.50
  4. Step 4: Simplify right side
    7,617.30x = 27,676,674.90
  5. Step 5: Solve for x
    x = 27,676,674.90/7,617.30
  6. Step 6: Final answer
    x = 3,633.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.