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Finding the Fourth Proportional to 9,449, 14,194.38 and 6,167.24

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Solution

The fourth proportional to 9,449, 14,194.38 and 6,167.24 is: 9,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449 : 14,194.38 = 6,167.24 : x
  2. Step 2: Convert to fraction form
    9,449/14,194.38 = 6,167.24/x
  3. Step 3: Cross multiply
    9,449x = 14,194.38 × 6,167.24
  4. Step 4: Simplify right side
    9,449x = 87,540,148.11
  5. Step 5: Solve for x
    x = 87,540,148.11/9,449
  6. Step 6: Final answer
    x = 9,264.49

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Double scale
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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.