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Finding the Fourth Proportional to 6,153.80, 9,230.70 and 5,740.70

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Solution

The fourth proportional to 6,153.80, 9,230.70 and 5,740.70 is: 8,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.80 : 9,230.70 = 5,740.70 : x
  2. Step 2: Convert to fraction form
    6,153.80/9,230.70 = 5,740.70/x
  3. Step 3: Cross multiply
    6,153.80x = 9,230.70 × 5,740.70
  4. Step 4: Simplify right side
    6,153.80x = 52,990,679.49
  5. Step 5: Solve for x
    x = 52,990,679.49/6,153.80
  6. Step 6: Final answer
    x = 8,611.05

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Similar ratio
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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.