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Finding the Fourth Proportional to 6,184.59, 9,261.49 and 4,327

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Solution

The fourth proportional to 6,184.59, 9,261.49 and 4,327 is: 6,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.59 : 9,261.49 = 4,327 : x
  2. Step 2: Convert to fraction form
    6,184.59/9,261.49 = 4,327/x
  3. Step 3: Cross multiply
    6,184.59x = 9,261.49 × 4,327
  4. Step 4: Simplify right side
    6,184.59x = 40,074,467.23
  5. Step 5: Solve for x
    x = 40,074,467.23/6,184.59
  6. Step 6: Final answer
    x = 6,479.73

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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.