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Finding the Fourth Proportional to 9,406.07, 12,974.17 and 6,043.58

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Solution

The fourth proportional to 9,406.07, 12,974.17 and 6,043.58 is: 8,336.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.07 : 12,974.17 = 6,043.58 : x
  2. Step 2: Convert to fraction form
    9,406.07/12,974.17 = 6,043.58/x
  3. Step 3: Cross multiply
    9,406.07x = 12,974.17 × 6,043.58
  4. Step 4: Simplify right side
    9,406.07x = 78,410,434.33
  5. Step 5: Solve for x
    x = 78,410,434.33/9,406.07
  6. Step 6: Final answer
    x = 8,336.15

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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.