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Finding the Fourth Proportional to 7,984.62, 11,018.48 and 4,447.64

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Solution

The fourth proportional to 7,984.62, 11,018.48 and 4,447.64 is: 6,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.62 : 11,018.48 = 4,447.64 : x
  2. Step 2: Convert to fraction form
    7,984.62/11,018.48 = 4,447.64/x
  3. Step 3: Cross multiply
    7,984.62x = 11,018.48 × 4,447.64
  4. Step 4: Simplify right side
    7,984.62x = 49,006,232.39
  5. Step 5: Solve for x
    x = 49,006,232.39/7,984.62
  6. Step 6: Final answer
    x = 6,137.58

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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.