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Finding the Fourth Proportional to 8,842.60, 12,196.74 and 7,267.96

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Solution

The fourth proportional to 8,842.60, 12,196.74 and 7,267.96 is: 10,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.60 : 12,196.74 = 7,267.96 : x
  2. Step 2: Convert to fraction form
    8,842.60/12,196.74 = 7,267.96/x
  3. Step 3: Cross multiply
    8,842.60x = 12,196.74 × 7,267.96
  4. Step 4: Simplify right side
    8,842.60x = 88,645,418.45
  5. Step 5: Solve for x
    x = 88,645,418.45/8,842.60
  6. Step 6: Final answer
    x = 10,024.81

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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.