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Finding the Fourth Proportional to 6,807.80, 10,200.90 and 4,496.60

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Solution

The fourth proportional to 6,807.80, 10,200.90 and 4,496.60 is: 6,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.80 : 10,200.90 = 4,496.60 : x
  2. Step 2: Convert to fraction form
    6,807.80/10,200.90 = 4,496.60/x
  3. Step 3: Cross multiply
    6,807.80x = 10,200.90 × 4,496.60
  4. Step 4: Simplify right side
    6,807.80x = 45,869,366.94
  5. Step 5: Solve for x
    x = 45,869,366.94/6,807.80
  6. Step 6: Final answer
    x = 6,737.77

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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.