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Finding the Fourth Proportional to 11,644.08, 16,069.08 and 6,339.16

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Solution

The fourth proportional to 11,644.08, 16,069.08 and 6,339.16 is: 8,748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.08 : 16,069.08 = 6,339.16 : x
  2. Step 2: Convert to fraction form
    11,644.08/16,069.08 = 6,339.16/x
  3. Step 3: Cross multiply
    11,644.08x = 16,069.08 × 6,339.16
  4. Step 4: Simplify right side
    11,644.08x = 101,864,469.17
  5. Step 5: Solve for x
    x = 101,864,469.17/11,644.08
  6. Step 6: Final answer
    x = 8,748.18

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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.