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Finding the Fourth Proportional to 12,193.06, 16,826.74 and 7,479.94

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Solution

The fourth proportional to 12,193.06, 16,826.74 and 7,479.94 is: 10,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.06 : 16,826.74 = 7,479.94 : x
  2. Step 2: Convert to fraction form
    12,193.06/16,826.74 = 7,479.94/x
  3. Step 3: Cross multiply
    12,193.06x = 16,826.74 × 7,479.94
  4. Step 4: Simplify right side
    12,193.06x = 125,863,005.60
  5. Step 5: Solve for x
    x = 125,863,005.60/12,193.06
  6. Step 6: Final answer
    x = 10,322.51

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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.