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Finding the Fourth Proportional to 8,267.28, 11,408.64 and 4,541.28

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Solution

The fourth proportional to 8,267.28, 11,408.64 and 4,541.28 is: 6,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.28 : 11,408.64 = 4,541.28 : x
  2. Step 2: Convert to fraction form
    8,267.28/11,408.64 = 4,541.28/x
  3. Step 3: Cross multiply
    8,267.28x = 11,408.64 × 4,541.28
  4. Step 4: Simplify right side
    8,267.28x = 51,809,828.66
  5. Step 5: Solve for x
    x = 51,809,828.66/8,267.28
  6. Step 6: Final answer
    x = 6,266.85

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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.