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Finding the Fourth Proportional to 9,183.16, 12,667.04 and 7,646.16

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Solution

The fourth proportional to 9,183.16, 12,667.04 and 7,646.16 is: 10,546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.16 : 12,667.04 = 7,646.16 : x
  2. Step 2: Convert to fraction form
    9,183.16/12,667.04 = 7,646.16/x
  3. Step 3: Cross multiply
    9,183.16x = 12,667.04 × 7,646.16
  4. Step 4: Simplify right side
    9,183.16x = 96,854,214.57
  5. Step 5: Solve for x
    x = 96,854,214.57/9,183.16
  6. Step 6: Final answer
    x = 10,546.94

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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.