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Finding the Fourth Proportional to 6,728.18, 9,285.18 and 5,607.24

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Solution

The fourth proportional to 6,728.18, 9,285.18 and 5,607.24 is: 7,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.18 : 9,285.18 = 5,607.24 : x
  2. Step 2: Convert to fraction form
    6,728.18/9,285.18 = 5,607.24/x
  3. Step 3: Cross multiply
    6,728.18x = 9,285.18 × 5,607.24
  4. Step 4: Simplify right side
    6,728.18x = 52,064,176.86
  5. Step 5: Solve for x
    x = 52,064,176.86/6,728.18
  6. Step 6: Final answer
    x = 7,738.23

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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.