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Finding the Fourth Proportional to 9,760.74, 14,649.30 and 5,082.38

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Solution

The fourth proportional to 9,760.74, 14,649.30 and 5,082.38 is: 7,627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.74 : 14,649.30 = 5,082.38 : x
  2. Step 2: Convert to fraction form
    9,760.74/14,649.30 = 5,082.38/x
  3. Step 3: Cross multiply
    9,760.74x = 14,649.30 × 5,082.38
  4. Step 4: Simplify right side
    9,760.74x = 74,453,236.09
  5. Step 5: Solve for x
    x = 74,453,236.09/9,760.74
  6. Step 6: Final answer
    x = 7,627.83

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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.