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Finding the Fourth Proportional to 11,894.40, 16,414.02 and 6,858.60

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Solution

The fourth proportional to 11,894.40, 16,414.02 and 6,858.60 is: 9,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.40 : 16,414.02 = 6,858.60 : x
  2. Step 2: Convert to fraction form
    11,894.40/16,414.02 = 6,858.60/x
  3. Step 3: Cross multiply
    11,894.40x = 16,414.02 × 6,858.60
  4. Step 4: Simplify right side
    11,894.40x = 112,577,197.57
  5. Step 5: Solve for x
    x = 112,577,197.57/11,894.40
  6. Step 6: Final answer
    x = 9,464.72

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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.