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Finding the Fourth Proportional to 9,524.17, 13,138.87 and 5,984.88

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Solution

The fourth proportional to 9,524.17, 13,138.87 and 5,984.88 is: 8,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.17 : 13,138.87 = 5,984.88 : x
  2. Step 2: Convert to fraction form
    9,524.17/13,138.87 = 5,984.88/x
  3. Step 3: Cross multiply
    9,524.17x = 13,138.87 × 5,984.88
  4. Step 4: Simplify right side
    9,524.17x = 78,634,560.29
  5. Step 5: Solve for x
    x = 78,634,560.29/9,524.17
  6. Step 6: Final answer
    x = 8,256.32

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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.