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Finding the Fourth Proportional to 8,024.78, 11,975.22 and 7,052.88

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Solution

The fourth proportional to 8,024.78, 11,975.22 and 7,052.88 is: 10,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.78 : 11,975.22 = 7,052.88 : x
  2. Step 2: Convert to fraction form
    8,024.78/11,975.22 = 7,052.88/x
  3. Step 3: Cross multiply
    8,024.78x = 11,975.22 × 7,052.88
  4. Step 4: Simplify right side
    8,024.78x = 84,459,789.63
  5. Step 5: Solve for x
    x = 84,459,789.63/8,024.78
  6. Step 6: Final answer
    x = 10,524.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.