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Finding the Fourth Proportional to 8,192.01, 12,228.41 and 7,583.43

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Solution

The fourth proportional to 8,192.01, 12,228.41 and 7,583.43 is: 11,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.01 : 12,228.41 = 7,583.43 : x
  2. Step 2: Convert to fraction form
    8,192.01/12,228.41 = 7,583.43/x
  3. Step 3: Cross multiply
    8,192.01x = 12,228.41 × 7,583.43
  4. Step 4: Simplify right side
    8,192.01x = 92,733,291.25
  5. Step 5: Solve for x
    x = 92,733,291.25/8,192.01
  6. Step 6: Final answer
    x = 11,319.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.