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Finding the Fourth Proportional to 8,337.57, 11,505.87 and 4,611.57

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Solution

The fourth proportional to 8,337.57, 11,505.87 and 4,611.57 is: 6,363.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.57 : 11,505.87 = 4,611.57 : x
  2. Step 2: Convert to fraction form
    8,337.57/11,505.87 = 4,611.57/x
  3. Step 3: Cross multiply
    8,337.57x = 11,505.87 × 4,611.57
  4. Step 4: Simplify right side
    8,337.57x = 53,060,124.92
  5. Step 5: Solve for x
    x = 53,060,124.92/8,337.57
  6. Step 6: Final answer
    x = 6,363.98

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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.