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Finding the Fourth Proportional to 5,034.96, 6,946.02 and 2,938.14

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Solution

The fourth proportional to 5,034.96, 6,946.02 and 2,938.14 is: 4,053.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.96 : 6,946.02 = 2,938.14 : x
  2. Step 2: Convert to fraction form
    5,034.96/6,946.02 = 2,938.14/x
  3. Step 3: Cross multiply
    5,034.96x = 6,946.02 × 2,938.14
  4. Step 4: Simplify right side
    5,034.96x = 20,408,379.20
  5. Step 5: Solve for x
    x = 20,408,379.20/5,034.96
  6. Step 6: Final answer
    x = 4,053.33

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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.