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Finding the Fourth Proportional to 8,227.64, 12,314.58 and 4,473.80

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Solution

The fourth proportional to 8,227.64, 12,314.58 and 4,473.80 is: 6,696.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.64 : 12,314.58 = 4,473.80 : x
  2. Step 2: Convert to fraction form
    8,227.64/12,314.58 = 4,473.80/x
  3. Step 3: Cross multiply
    8,227.64x = 12,314.58 × 4,473.80
  4. Step 4: Simplify right side
    8,227.64x = 55,092,968.00
  5. Step 5: Solve for x
    x = 55,092,968.00/8,227.64
  6. Step 6: Final answer
    x = 6,696.08

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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.