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Finding the Fourth Proportional to 7,056.44, 9,737.82 and 3,869.92

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Solution

The fourth proportional to 7,056.44, 9,737.82 and 3,869.92 is: 5,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.44 : 9,737.82 = 3,869.92 : x
  2. Step 2: Convert to fraction form
    7,056.44/9,737.82 = 3,869.92/x
  3. Step 3: Cross multiply
    7,056.44x = 9,737.82 × 3,869.92
  4. Step 4: Simplify right side
    7,056.44x = 37,684,584.37
  5. Step 5: Solve for x
    x = 37,684,584.37/7,056.44
  6. Step 6: Final answer
    x = 5,340.45

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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.