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Finding the Fourth Proportional to 15,911.50, 21,961.08 and 9,197.40

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Solution

The fourth proportional to 15,911.50, 21,961.08 and 9,197.40 is: 12,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,911.50 : 21,961.08 = 9,197.40 : x
  2. Step 2: Convert to fraction form
    15,911.50/21,961.08 = 9,197.40/x
  3. Step 3: Cross multiply
    15,911.50x = 21,961.08 × 9,197.40
  4. Step 4: Simplify right side
    15,911.50x = 201,984,837.19
  5. Step 5: Solve for x
    x = 201,984,837.19/15,911.50
  6. Step 6: Final answer
    x = 12,694.27

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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.