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Finding the Fourth Proportional to 8,266.50, 11,408.49 and 4,541.22

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Solution

The fourth proportional to 8,266.50, 11,408.49 and 4,541.22 is: 6,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.50 : 11,408.49 = 4,541.22 : x
  2. Step 2: Convert to fraction form
    8,266.50/11,408.49 = 4,541.22/x
  3. Step 3: Cross multiply
    8,266.50x = 11,408.49 × 4,541.22
  4. Step 4: Simplify right side
    8,266.50x = 51,808,462.96
  5. Step 5: Solve for x
    x = 51,808,462.96/8,266.50
  6. Step 6: Final answer
    x = 6,267.28

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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.