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Finding the Fourth Proportional to 10,862.17, 14,991.39 and 6,883.64

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Solution

The fourth proportional to 10,862.17, 14,991.39 and 6,883.64 is: 9,500.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.17 : 14,991.39 = 6,883.64 : x
  2. Step 2: Convert to fraction form
    10,862.17/14,991.39 = 6,883.64/x
  3. Step 3: Cross multiply
    10,862.17x = 14,991.39 × 6,883.64
  4. Step 4: Simplify right side
    10,862.17x = 103,195,331.86
  5. Step 5: Solve for x
    x = 103,195,331.86/10,862.17
  6. Step 6: Final answer
    x = 9,500.43

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1.5x scale

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.