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Finding the Fourth Proportional to 6,861.80, 9,471.09 and 4,737.68

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Solution

The fourth proportional to 6,861.80, 9,471.09 and 4,737.68 is: 6,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.80 : 9,471.09 = 4,737.68 : x
  2. Step 2: Convert to fraction form
    6,861.80/9,471.09 = 4,737.68/x
  3. Step 3: Cross multiply
    6,861.80x = 9,471.09 × 4,737.68
  4. Step 4: Simplify right side
    6,861.80x = 44,870,993.67
  5. Step 5: Solve for x
    x = 44,870,993.67/6,861.80
  6. Step 6: Final answer
    x = 6,539.25

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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.