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Finding the Fourth Proportional to 11,643.57, 17,463.56 and 4,248

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Solution

The fourth proportional to 11,643.57, 17,463.56 and 4,248 is: 6,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.57 : 17,463.56 = 4,248 : x
  2. Step 2: Convert to fraction form
    11,643.57/17,463.56 = 4,248/x
  3. Step 3: Cross multiply
    11,643.57x = 17,463.56 × 4,248
  4. Step 4: Simplify right side
    11,643.57x = 74,185,181.64
  5. Step 5: Solve for x
    x = 74,185,181.64/11,643.57
  6. Step 6: Final answer
    x = 6,371.34

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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.