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Finding the Fourth Proportional to 9,096.93, 13,647.39 and 8,178.39

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Solution

The fourth proportional to 9,096.93, 13,647.39 and 8,178.39 is: 12,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.93 : 13,647.39 = 8,178.39 : x
  2. Step 2: Convert to fraction form
    9,096.93/13,647.39 = 8,178.39/x
  3. Step 3: Cross multiply
    9,096.93x = 13,647.39 × 8,178.39
  4. Step 4: Simplify right side
    9,096.93x = 111,613,677.90
  5. Step 5: Solve for x
    x = 111,613,677.90/9,096.93
  6. Step 6: Final answer
    x = 12,269.38

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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.