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Finding the Fourth Proportional to 11,359.64, 15,676.42 and 6,643

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Solution

The fourth proportional to 11,359.64, 15,676.42 and 6,643 is: 9,167.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359.64 : 15,676.42 = 6,643 : x
  2. Step 2: Convert to fraction form
    11,359.64/15,676.42 = 6,643/x
  3. Step 3: Cross multiply
    11,359.64x = 15,676.42 × 6,643
  4. Step 4: Simplify right side
    11,359.64x = 104,138,458.06
  5. Step 5: Solve for x
    x = 104,138,458.06/11,359.64
  6. Step 6: Final answer
    x = 9,167.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.