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Finding the Fourth Proportional to 7,576.49, 10,457.25 and 4,919.28

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Solution

The fourth proportional to 7,576.49, 10,457.25 and 4,919.28 is: 6,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.49 : 10,457.25 = 4,919.28 : x
  2. Step 2: Convert to fraction form
    7,576.49/10,457.25 = 4,919.28/x
  3. Step 3: Cross multiply
    7,576.49x = 10,457.25 × 4,919.28
  4. Step 4: Simplify right side
    7,576.49x = 51,442,169.61
  5. Step 5: Solve for x
    x = 51,442,169.61/7,576.49
  6. Step 6: Final answer
    x = 6,789.71

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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.