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Finding the Fourth Proportional to 8,158.73, 12,182.64 and 7,696.73

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Solution

The fourth proportional to 8,158.73, 12,182.64 and 7,696.73 is: 11,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.73 : 12,182.64 = 7,696.73 : x
  2. Step 2: Convert to fraction form
    8,158.73/12,182.64 = 7,696.73/x
  3. Step 3: Cross multiply
    8,158.73x = 12,182.64 × 7,696.73
  4. Step 4: Simplify right side
    8,158.73x = 93,766,521.22
  5. Step 5: Solve for x
    x = 93,766,521.22/8,158.73
  6. Step 6: Final answer
    x = 11,492.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.