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Finding the Fourth Proportional to 9,993.09, 13,810.24 and 8,197.69

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Solution

The fourth proportional to 9,993.09, 13,810.24 and 8,197.69 is: 11,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.09 : 13,810.24 = 8,197.69 : x
  2. Step 2: Convert to fraction form
    9,993.09/13,810.24 = 8,197.69/x
  3. Step 3: Cross multiply
    9,993.09x = 13,810.24 × 8,197.69
  4. Step 4: Simplify right side
    9,993.09x = 113,212,066.35
  5. Step 5: Solve for x
    x = 113,212,066.35/9,993.09
  6. Step 6: Final answer
    x = 11,329.03

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.