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Finding the Fourth Proportional to 8,645.12, 12,964.44 and 6,817.76

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Solution

The fourth proportional to 8,645.12, 12,964.44 and 6,817.76 is: 10,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.12 : 12,964.44 = 6,817.76 : x
  2. Step 2: Convert to fraction form
    8,645.12/12,964.44 = 6,817.76/x
  3. Step 3: Cross multiply
    8,645.12x = 12,964.44 × 6,817.76
  4. Step 4: Simplify right side
    8,645.12x = 88,388,440.45
  5. Step 5: Solve for x
    x = 88,388,440.45/8,645.12
  6. Step 6: Final answer
    x = 10,224.08

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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.