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Finding the Fourth Proportional to 9,704.98, 14,557.53 and 4,153.64

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Solution

The fourth proportional to 9,704.98, 14,557.53 and 4,153.64 is: 6,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.98 : 14,557.53 = 4,153.64 : x
  2. Step 2: Convert to fraction form
    9,704.98/14,557.53 = 4,153.64/x
  3. Step 3: Cross multiply
    9,704.98x = 14,557.53 × 4,153.64
  4. Step 4: Simplify right side
    9,704.98x = 60,466,738.91
  5. Step 5: Solve for x
    x = 60,466,738.91/9,704.98
  6. Step 6: Final answer
    x = 6,230.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.