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Finding the Fourth Proportional to 8,192.21, 11,314.44 and 5,535

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Solution

The fourth proportional to 8,192.21, 11,314.44 and 5,535 is: 7,644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.21 : 11,314.44 = 5,535 : x
  2. Step 2: Convert to fraction form
    8,192.21/11,314.44 = 5,535/x
  3. Step 3: Cross multiply
    8,192.21x = 11,314.44 × 5,535
  4. Step 4: Simplify right side
    8,192.21x = 62,625,425.40
  5. Step 5: Solve for x
    x = 62,625,425.40/8,192.21
  6. Step 6: Final answer
    x = 7,644.51

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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.