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Finding the Fourth Proportional to 6,987, 10,476.96 and 2,544.48

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Solution

The fourth proportional to 6,987, 10,476.96 and 2,544.48 is: 3,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987 : 10,476.96 = 2,544.48 : x
  2. Step 2: Convert to fraction form
    6,987/10,476.96 = 2,544.48/x
  3. Step 3: Cross multiply
    6,987x = 10,476.96 × 2,544.48
  4. Step 4: Simplify right side
    6,987x = 26,658,415.18
  5. Step 5: Solve for x
    x = 26,658,415.18/6,987
  6. Step 6: Final answer
    x = 3,815.43

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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.