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Finding the Fourth Proportional to 15,969.22, 23,953.83 and 6,111.52

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Solution

The fourth proportional to 15,969.22, 23,953.83 and 6,111.52 is: 9,167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969.22 : 23,953.83 = 6,111.52 : x
  2. Step 2: Convert to fraction form
    15,969.22/23,953.83 = 6,111.52/x
  3. Step 3: Cross multiply
    15,969.22x = 23,953.83 × 6,111.52
  4. Step 4: Simplify right side
    15,969.22x = 146,394,311.12
  5. Step 5: Solve for x
    x = 146,394,311.12/15,969.22
  6. Step 6: Final answer
    x = 9,167.28

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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.