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Finding the Fourth Proportional to 6,674.92, 9,999.42 and 3,214.60

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Solution

The fourth proportional to 6,674.92, 9,999.42 and 3,214.60 is: 4,815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.92 : 9,999.42 = 3,214.60 : x
  2. Step 2: Convert to fraction form
    6,674.92/9,999.42 = 3,214.60/x
  3. Step 3: Cross multiply
    6,674.92x = 9,999.42 × 3,214.60
  4. Step 4: Simplify right side
    6,674.92x = 32,144,135.53
  5. Step 5: Solve for x
    x = 32,144,135.53/6,674.92
  6. Step 6: Final answer
    x = 4,815.66

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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.