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Finding the Fourth Proportional to 10,444, 14,415.96 and 6,718

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Solution

The fourth proportional to 10,444, 14,415.96 and 6,718 is: 9,272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444 : 14,415.96 = 6,718 : x
  2. Step 2: Convert to fraction form
    10,444/14,415.96 = 6,718/x
  3. Step 3: Cross multiply
    10,444x = 14,415.96 × 6,718
  4. Step 4: Simplify right side
    10,444x = 96,846,419.28
  5. Step 5: Solve for x
    x = 96,846,419.28/10,444
  6. Step 6: Final answer
    x = 9,272.92

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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.