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Finding the Fourth Proportional to 6,373.53, 9,543.16 and 5,198.69

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Solution

The fourth proportional to 6,373.53, 9,543.16 and 5,198.69 is: 7,784.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.53 : 9,543.16 = 5,198.69 : x
  2. Step 2: Convert to fraction form
    6,373.53/9,543.16 = 5,198.69/x
  3. Step 3: Cross multiply
    6,373.53x = 9,543.16 × 5,198.69
  4. Step 4: Simplify right side
    6,373.53x = 49,611,930.46
  5. Step 5: Solve for x
    x = 49,611,930.46/6,373.53
  6. Step 6: Final answer
    x = 7,784.06

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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.