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Finding the Fourth Proportional to 5,469.16, 7,553.64 and 4,362.16

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Solution

The fourth proportional to 5,469.16, 7,553.64 and 4,362.16 is: 6,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.16 : 7,553.64 = 4,362.16 : x
  2. Step 2: Convert to fraction form
    5,469.16/7,553.64 = 4,362.16/x
  3. Step 3: Cross multiply
    5,469.16x = 7,553.64 × 4,362.16
  4. Step 4: Simplify right side
    5,469.16x = 32,950,186.26
  5. Step 5: Solve for x
    x = 32,950,186.26/5,469.16
  6. Step 6: Final answer
    x = 6,024.73

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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.