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Finding the Fourth Proportional to 4,675.42, 6,402.95 and 4,613.91

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Solution

The fourth proportional to 4,675.42, 6,402.95 and 4,613.91 is: 6,318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.42 : 6,402.95 = 4,613.91 : x
  2. Step 2: Convert to fraction form
    4,675.42/6,402.95 = 4,613.91/x
  3. Step 3: Cross multiply
    4,675.42x = 6,402.95 × 4,613.91
  4. Step 4: Simplify right side
    4,675.42x = 29,542,641.27
  5. Step 5: Solve for x
    x = 29,542,641.27/4,675.42
  6. Step 6: Final answer
    x = 6,318.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.