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Finding the Fourth Proportional to 9,568.92, 13,209.16 and 8,971.08

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Solution

The fourth proportional to 9,568.92, 13,209.16 and 8,971.08 is: 12,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.92 : 13,209.16 = 8,971.08 : x
  2. Step 2: Convert to fraction form
    9,568.92/13,209.16 = 8,971.08/x
  3. Step 3: Cross multiply
    9,568.92x = 13,209.16 × 8,971.08
  4. Step 4: Simplify right side
    9,568.92x = 118,500,431.09
  5. Step 5: Solve for x
    x = 118,500,431.09/9,568.92
  6. Step 6: Final answer
    x = 12,383.89

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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.