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Finding the Fourth Proportional to 6,442.64, 9,664.52 and 1,825.64

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Solution

The fourth proportional to 6,442.64, 9,664.52 and 1,825.64 is: 2,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.64 : 9,664.52 = 1,825.64 : x
  2. Step 2: Convert to fraction form
    6,442.64/9,664.52 = 1,825.64/x
  3. Step 3: Cross multiply
    6,442.64x = 9,664.52 × 1,825.64
  4. Step 4: Simplify right side
    6,442.64x = 17,643,934.29
  5. Step 5: Solve for x
    x = 17,643,934.29/6,442.64
  6. Step 6: Final answer
    x = 2,738.62

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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.