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Finding the Fourth Proportional to 11,862.60, 16,371.16 and 6,827.44

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Solution

The fourth proportional to 11,862.60, 16,371.16 and 6,827.44 is: 9,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.60 : 16,371.16 = 6,827.44 : x
  2. Step 2: Convert to fraction form
    11,862.60/16,371.16 = 6,827.44/x
  3. Step 3: Cross multiply
    11,862.60x = 16,371.16 × 6,827.44
  4. Step 4: Simplify right side
    11,862.60x = 111,773,112.63
  5. Step 5: Solve for x
    x = 111,773,112.63/11,862.60
  6. Step 6: Final answer
    x = 9,422.31

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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.