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Finding the Fourth Proportional to 9,674.74, 14,514 and 3,100.42

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Solution

The fourth proportional to 9,674.74, 14,514 and 3,100.42 is: 4,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.74 : 14,514 = 3,100.42 : x
  2. Step 2: Convert to fraction form
    9,674.74/14,514 = 3,100.42/x
  3. Step 3: Cross multiply
    9,674.74x = 14,514 × 3,100.42
  4. Step 4: Simplify right side
    9,674.74x = 44,999,495.88
  5. Step 5: Solve for x
    x = 44,999,495.88/9,674.74
  6. Step 6: Final answer
    x = 4,651.24

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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.