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Finding the Fourth Proportional to 5,984.92, 8,982 and 4,148.88

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Solution

The fourth proportional to 5,984.92, 8,982 and 4,148.88 is: 6,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.92 : 8,982 = 4,148.88 : x
  2. Step 2: Convert to fraction form
    5,984.92/8,982 = 4,148.88/x
  3. Step 3: Cross multiply
    5,984.92x = 8,982 × 4,148.88
  4. Step 4: Simplify right side
    5,984.92x = 37,265,240.16
  5. Step 5: Solve for x
    x = 37,265,240.16/5,984.92
  6. Step 6: Final answer
    x = 6,226.52

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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.