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Finding the Fourth Proportional to 11,863.53, 16,371.18 and 6,824.32

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Solution

The fourth proportional to 11,863.53, 16,371.18 and 6,824.32 is: 9,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.53 : 16,371.18 = 6,824.32 : x
  2. Step 2: Convert to fraction form
    11,863.53/16,371.18 = 6,824.32/x
  3. Step 3: Cross multiply
    11,863.53x = 16,371.18 × 6,824.32
  4. Step 4: Simplify right side
    11,863.53x = 111,722,130.17
  5. Step 5: Solve for x
    x = 111,722,130.17/11,863.53
  6. Step 6: Final answer
    x = 9,417.28

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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.