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Finding the Fourth Proportional to 23,687.70, 35,521.95 and 8,097.30

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Solution

The fourth proportional to 23,687.70, 35,521.95 and 8,097.30 is: 12,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,687.70 : 35,521.95 = 8,097.30 : x
  2. Step 2: Convert to fraction form
    23,687.70/35,521.95 = 8,097.30/x
  3. Step 3: Cross multiply
    23,687.70x = 35,521.95 × 8,097.30
  4. Step 4: Simplify right side
    23,687.70x = 287,631,885.74
  5. Step 5: Solve for x
    x = 287,631,885.74/23,687.70
  6. Step 6: Final answer
    x = 12,142.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.