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Finding the Fourth Proportional to 8,256.31, 11,393.81 and 4,530.31

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Solution

The fourth proportional to 8,256.31, 11,393.81 and 4,530.31 is: 6,251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.31 : 11,393.81 = 4,530.31 : x
  2. Step 2: Convert to fraction form
    8,256.31/11,393.81 = 4,530.31/x
  3. Step 3: Cross multiply
    8,256.31x = 11,393.81 × 4,530.31
  4. Step 4: Simplify right side
    8,256.31x = 51,617,491.38
  5. Step 5: Solve for x
    x = 51,617,491.38/8,256.31
  6. Step 6: Final answer
    x = 6,251.88

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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.