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Finding the Fourth Proportional to 8,192.16, 11,294.16 and 5,353.92

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Solution

The fourth proportional to 8,192.16, 11,294.16 and 5,353.92 is: 7,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.16 : 11,294.16 = 5,353.92 : x
  2. Step 2: Convert to fraction form
    8,192.16/11,294.16 = 5,353.92/x
  3. Step 3: Cross multiply
    8,192.16x = 11,294.16 × 5,353.92
  4. Step 4: Simplify right side
    8,192.16x = 60,468,029.11
  5. Step 5: Solve for x
    x = 60,468,029.11/8,192.16
  6. Step 6: Final answer
    x = 7,381.21

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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.