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Finding the Fourth Proportional to 6,503.67, 9,737.84 and 3,377.09

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Solution

The fourth proportional to 6,503.67, 9,737.84 and 3,377.09 is: 5,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.67 : 9,737.84 = 3,377.09 : x
  2. Step 2: Convert to fraction form
    6,503.67/9,737.84 = 3,377.09/x
  3. Step 3: Cross multiply
    6,503.67x = 9,737.84 × 3,377.09
  4. Step 4: Simplify right side
    6,503.67x = 32,885,594.87
  5. Step 5: Solve for x
    x = 32,885,594.87/6,503.67
  6. Step 6: Final answer
    x = 5,056.47

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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.