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Finding the Fourth Proportional to 9,262.68, 12,788.46 and 8,266.26

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Solution

The fourth proportional to 9,262.68, 12,788.46 and 8,266.26 is: 11,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.68 : 12,788.46 = 8,266.26 : x
  2. Step 2: Convert to fraction form
    9,262.68/12,788.46 = 8,266.26/x
  3. Step 3: Cross multiply
    9,262.68x = 12,788.46 × 8,266.26
  4. Step 4: Simplify right side
    9,262.68x = 105,712,735.36
  5. Step 5: Solve for x
    x = 105,712,735.36/9,262.68
  6. Step 6: Final answer
    x = 11,412.76

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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.