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Finding the Fourth Proportional to 23,849.70, 35,774.88 and 7,209.87

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Solution

The fourth proportional to 23,849.70, 35,774.88 and 7,209.87 is: 10,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,849.70 : 35,774.88 = 7,209.87 : x
  2. Step 2: Convert to fraction form
    23,849.70/35,774.88 = 7,209.87/x
  3. Step 3: Cross multiply
    23,849.70x = 35,774.88 × 7,209.87
  4. Step 4: Simplify right side
    23,849.70x = 257,932,234.07
  5. Step 5: Solve for x
    x = 257,932,234.07/23,849.70
  6. Step 6: Final answer
    x = 10,814.90

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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.