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Finding the Fourth Proportional to 15,855.97, 23,784.18 and 7,536.84

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Solution

The fourth proportional to 15,855.97, 23,784.18 and 7,536.84 is: 11,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.97 : 23,784.18 = 7,536.84 : x
  2. Step 2: Convert to fraction form
    15,855.97/23,784.18 = 7,536.84/x
  3. Step 3: Cross multiply
    15,855.97x = 23,784.18 × 7,536.84
  4. Step 4: Simplify right side
    15,855.97x = 179,257,440.27
  5. Step 5: Solve for x
    x = 179,257,440.27/15,855.97
  6. Step 6: Final answer
    x = 11,305.36

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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.