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Finding the Fourth Proportional to 6,100.53, 9,150.87 and 1,658.42

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Solution

The fourth proportional to 6,100.53, 9,150.87 and 1,658.42 is: 2,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.53 : 9,150.87 = 1,658.42 : x
  2. Step 2: Convert to fraction form
    6,100.53/9,150.87 = 1,658.42/x
  3. Step 3: Cross multiply
    6,100.53x = 9,150.87 × 1,658.42
  4. Step 4: Simplify right side
    6,100.53x = 15,175,940.07
  5. Step 5: Solve for x
    x = 15,175,940.07/6,100.53
  6. Step 6: Final answer
    x = 2,487.64

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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.