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Finding the Fourth Proportional to 11,712.60, 16,171.19 and 6,934.08

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Solution

The fourth proportional to 11,712.60, 16,171.19 and 6,934.08 is: 9,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.60 : 16,171.19 = 6,934.08 : x
  2. Step 2: Convert to fraction form
    11,712.60/16,171.19 = 6,934.08/x
  3. Step 3: Cross multiply
    11,712.60x = 16,171.19 × 6,934.08
  4. Step 4: Simplify right side
    11,712.60x = 112,132,325.16
  5. Step 5: Solve for x
    x = 112,132,325.16/11,712.60
  6. Step 6: Final answer
    x = 9,573.65

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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.