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Finding the Fourth Proportional to 8,861.44, 12,224 and 6,498.24

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Solution

The fourth proportional to 8,861.44, 12,224 and 6,498.24 is: 8,964.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,861.44 : 12,224 = 6,498.24 : x
  2. Step 2: Convert to fraction form
    8,861.44/12,224 = 6,498.24/x
  3. Step 3: Cross multiply
    8,861.44x = 12,224 × 6,498.24
  4. Step 4: Simplify right side
    8,861.44x = 79,434,485.76
  5. Step 5: Solve for x
    x = 79,434,485.76/8,861.44
  6. Step 6: Final answer
    x = 8,964.06

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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.