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Finding the Fourth Proportional to 5,071.46, 6,998.12 and 2,946.44

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Solution

The fourth proportional to 5,071.46, 6,998.12 and 2,946.44 is: 4,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.46 : 6,998.12 = 2,946.44 : x
  2. Step 2: Convert to fraction form
    5,071.46/6,998.12 = 2,946.44/x
  3. Step 3: Cross multiply
    5,071.46x = 6,998.12 × 2,946.44
  4. Step 4: Simplify right side
    5,071.46x = 20,619,540.69
  5. Step 5: Solve for x
    x = 20,619,540.69/5,071.46
  6. Step 6: Final answer
    x = 4,065.80

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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.