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Finding the Fourth Proportional to 13,489.70, 20,234.55 and 7,657.70

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Solution

The fourth proportional to 13,489.70, 20,234.55 and 7,657.70 is: 11,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.70 : 20,234.55 = 7,657.70 : x
  2. Step 2: Convert to fraction form
    13,489.70/20,234.55 = 7,657.70/x
  3. Step 3: Cross multiply
    13,489.70x = 20,234.55 × 7,657.70
  4. Step 4: Simplify right side
    13,489.70x = 154,950,113.54
  5. Step 5: Solve for x
    x = 154,950,113.54/13,489.70
  6. Step 6: Final answer
    x = 11,486.55

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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.