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Finding the Fourth Proportional to 6,282.52, 9,420.74 and 4,204.88

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Solution

The fourth proportional to 6,282.52, 9,420.74 and 4,204.88 is: 6,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.52 : 9,420.74 = 4,204.88 : x
  2. Step 2: Convert to fraction form
    6,282.52/9,420.74 = 4,204.88/x
  3. Step 3: Cross multiply
    6,282.52x = 9,420.74 × 4,204.88
  4. Step 4: Simplify right side
    6,282.52x = 39,613,081.21
  5. Step 5: Solve for x
    x = 39,613,081.21/6,282.52
  6. Step 6: Final answer
    x = 6,305.29

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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.