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Finding the Fourth Proportional to 6,987.50, 9,684.29 and 6,856.28

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Solution

The fourth proportional to 6,987.50, 9,684.29 and 6,856.28 is: 9,502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.50 : 9,684.29 = 6,856.28 : x
  2. Step 2: Convert to fraction form
    6,987.50/9,684.29 = 6,856.28/x
  3. Step 3: Cross multiply
    6,987.50x = 9,684.29 × 6,856.28
  4. Step 4: Simplify right side
    6,987.50x = 66,398,208.88
  5. Step 5: Solve for x
    x = 66,398,208.88/6,987.50
  6. Step 6: Final answer
    x = 9,502.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.