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Finding the Fourth Proportional to 11,737.50, 16,199.19 and 6,769.50

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Solution

The fourth proportional to 11,737.50, 16,199.19 and 6,769.50 is: 9,342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.50 : 16,199.19 = 6,769.50 : x
  2. Step 2: Convert to fraction form
    11,737.50/16,199.19 = 6,769.50/x
  3. Step 3: Cross multiply
    11,737.50x = 16,199.19 × 6,769.50
  4. Step 4: Simplify right side
    11,737.50x = 109,660,416.71
  5. Step 5: Solve for x
    x = 109,660,416.71/11,737.50
  6. Step 6: Final answer
    x = 9,342.74

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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.