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Finding the Fourth Proportional to 6,234.92, 9,308.98 and 5,612.84

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Solution

The fourth proportional to 6,234.92, 9,308.98 and 5,612.84 is: 8,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.92 : 9,308.98 = 5,612.84 : x
  2. Step 2: Convert to fraction form
    6,234.92/9,308.98 = 5,612.84/x
  3. Step 3: Cross multiply
    6,234.92x = 9,308.98 × 5,612.84
  4. Step 4: Simplify right side
    6,234.92x = 52,249,815.30
  5. Step 5: Solve for x
    x = 52,249,815.30/6,234.92
  6. Step 6: Final answer
    x = 8,380.19

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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.