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Finding the Fourth Proportional to 4,903.38, 6,764.13 and 3,037.14

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Solution

The fourth proportional to 4,903.38, 6,764.13 and 3,037.14 is: 4,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.38 : 6,764.13 = 3,037.14 : x
  2. Step 2: Convert to fraction form
    4,903.38/6,764.13 = 3,037.14/x
  3. Step 3: Cross multiply
    4,903.38x = 6,764.13 × 3,037.14
  4. Step 4: Simplify right side
    4,903.38x = 20,543,609.79
  5. Step 5: Solve for x
    x = 20,543,609.79/4,903.38
  6. Step 6: Final answer
    x = 4,189.68

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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.