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Finding the Fourth Proportional to 6,737.42, 9,290.21 and 4,613.30

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Solution

The fourth proportional to 6,737.42, 9,290.21 and 4,613.30 is: 6,361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.42 : 9,290.21 = 4,613.30 : x
  2. Step 2: Convert to fraction form
    6,737.42/9,290.21 = 4,613.30/x
  3. Step 3: Cross multiply
    6,737.42x = 9,290.21 × 4,613.30
  4. Step 4: Simplify right side
    6,737.42x = 42,858,525.79
  5. Step 5: Solve for x
    x = 42,858,525.79/6,737.42
  6. Step 6: Final answer
    x = 6,361.27

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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.