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Finding the Fourth Proportional to 9,383.96, 14,016 and 8,493.13

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Solution

The fourth proportional to 9,383.96, 14,016 and 8,493.13 is: 12,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.96 : 14,016 = 8,493.13 : x
  2. Step 2: Convert to fraction form
    9,383.96/14,016 = 8,493.13/x
  3. Step 3: Cross multiply
    9,383.96x = 14,016 × 8,493.13
  4. Step 4: Simplify right side
    9,383.96x = 119,039,710.08
  5. Step 5: Solve for x
    x = 119,039,710.08/9,383.96
  6. Step 6: Final answer
    x = 12,685.45

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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.