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Finding the Fourth Proportional to 8,291.40, 12,443.90 and 8,226.60

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Solution

The fourth proportional to 8,291.40, 12,443.90 and 8,226.60 is: 12,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.40 : 12,443.90 = 8,226.60 : x
  2. Step 2: Convert to fraction form
    8,291.40/12,443.90 = 8,226.60/x
  3. Step 3: Cross multiply
    8,291.40x = 12,443.90 × 8,226.60
  4. Step 4: Simplify right side
    8,291.40x = 102,370,987.74
  5. Step 5: Solve for x
    x = 102,370,987.74/8,291.40
  6. Step 6: Final answer
    x = 12,346.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.