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Finding the Fourth Proportional to 8,266.46, 11,410.30 and 5,290.30

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Solution

The fourth proportional to 8,266.46, 11,410.30 and 5,290.30 is: 7,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.46 : 11,410.30 = 5,290.30 : x
  2. Step 2: Convert to fraction form
    8,266.46/11,410.30 = 5,290.30/x
  3. Step 3: Cross multiply
    8,266.46x = 11,410.30 × 5,290.30
  4. Step 4: Simplify right side
    8,266.46x = 60,363,910.09
  5. Step 5: Solve for x
    x = 60,363,910.09/8,266.46
  6. Step 6: Final answer
    x = 7,302.27

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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.