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Finding the Fourth Proportional to 6,563.84, 9,058.17 and 3,579.65

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Solution

The fourth proportional to 6,563.84, 9,058.17 and 3,579.65 is: 4,939.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.84 : 9,058.17 = 3,579.65 : x
  2. Step 2: Convert to fraction form
    6,563.84/9,058.17 = 3,579.65/x
  3. Step 3: Cross multiply
    6,563.84x = 9,058.17 × 3,579.65
  4. Step 4: Simplify right side
    6,563.84x = 32,425,078.24
  5. Step 5: Solve for x
    x = 32,425,078.24/6,563.84
  6. Step 6: Final answer
    x = 4,939.96

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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.