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Finding the Fourth Proportional to 9,321.96, 13,893 and 9,244.44

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Solution

The fourth proportional to 9,321.96, 13,893 and 9,244.44 is: 13,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.96 : 13,893 = 9,244.44 : x
  2. Step 2: Convert to fraction form
    9,321.96/13,893 = 9,244.44/x
  3. Step 3: Cross multiply
    9,321.96x = 13,893 × 9,244.44
  4. Step 4: Simplify right side
    9,321.96x = 128,433,004.92
  5. Step 5: Solve for x
    x = 128,433,004.92/9,321.96
  6. Step 6: Final answer
    x = 13,777.47

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.