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Finding the Fourth Proportional to 9,404.50, 14,106.75 and 2,479

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Solution

The fourth proportional to 9,404.50, 14,106.75 and 2,479 is: 3,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.50 : 14,106.75 = 2,479 : x
  2. Step 2: Convert to fraction form
    9,404.50/14,106.75 = 2,479/x
  3. Step 3: Cross multiply
    9,404.50x = 14,106.75 × 2,479
  4. Step 4: Simplify right side
    9,404.50x = 34,970,633.25
  5. Step 5: Solve for x
    x = 34,970,633.25/9,404.50
  6. Step 6: Final answer
    x = 3,718.50

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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.