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Finding the Fourth Proportional to 7,643, 11,464.50 and 2,449.02

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Solution

The fourth proportional to 7,643, 11,464.50 and 2,449.02 is: 3,673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643 : 11,464.50 = 2,449.02 : x
  2. Step 2: Convert to fraction form
    7,643/11,464.50 = 2,449.02/x
  3. Step 3: Cross multiply
    7,643x = 11,464.50 × 2,449.02
  4. Step 4: Simplify right side
    7,643x = 28,076,789.79
  5. Step 5: Solve for x
    x = 28,076,789.79/7,643
  6. Step 6: Final answer
    x = 3,673.53

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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.