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Finding the Fourth Proportional to 6,302.62, 9,456.50 and 4,449.74

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Solution

The fourth proportional to 6,302.62, 9,456.50 and 4,449.74 is: 6,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.62 : 9,456.50 = 4,449.74 : x
  2. Step 2: Convert to fraction form
    6,302.62/9,456.50 = 4,449.74/x
  3. Step 3: Cross multiply
    6,302.62x = 9,456.50 × 4,449.74
  4. Step 4: Simplify right side
    6,302.62x = 42,078,966.31
  5. Step 5: Solve for x
    x = 42,078,966.31/6,302.62
  6. Step 6: Final answer
    x = 6,676.42

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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.