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Finding the Fourth Proportional to 15,824.01, 23,747.69 and 7,504.05

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Solution

The fourth proportional to 15,824.01, 23,747.69 and 7,504.05 is: 11,261.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824.01 : 23,747.69 = 7,504.05 : x
  2. Step 2: Convert to fraction form
    15,824.01/23,747.69 = 7,504.05/x
  3. Step 3: Cross multiply
    15,824.01x = 23,747.69 × 7,504.05
  4. Step 4: Simplify right side
    15,824.01x = 178,203,853.14
  5. Step 5: Solve for x
    x = 178,203,853.14/15,824.01
  6. Step 6: Final answer
    x = 11,261.61

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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.