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Finding the Fourth Proportional to 15,967.44, 22,035.08 and 9,256.97

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Solution

The fourth proportional to 15,967.44, 22,035.08 and 9,256.97 is: 12,774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,967.44 : 22,035.08 = 9,256.97 : x
  2. Step 2: Convert to fraction form
    15,967.44/22,035.08 = 9,256.97/x
  3. Step 3: Cross multiply
    15,967.44x = 22,035.08 × 9,256.97
  4. Step 4: Simplify right side
    15,967.44x = 203,977,918.05
  5. Step 5: Solve for x
    x = 203,977,918.05/15,967.44
  6. Step 6: Final answer
    x = 12,774.62

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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.