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Finding the Fourth Proportional to 6,782.23, 9,353.23 and 4,654

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Solution

The fourth proportional to 6,782.23, 9,353.23 and 4,654 is: 6,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.23 : 9,353.23 = 4,654 : x
  2. Step 2: Convert to fraction form
    6,782.23/9,353.23 = 4,654/x
  3. Step 3: Cross multiply
    6,782.23x = 9,353.23 × 4,654
  4. Step 4: Simplify right side
    6,782.23x = 43,529,909.15
  5. Step 5: Solve for x
    x = 43,529,909.15/6,782.23
  6. Step 6: Final answer
    x = 6,418.23

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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.