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Finding the Fourth Proportional to 9,842.58, 14,760.68 and 3,267

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Solution

The fourth proportional to 9,842.58, 14,760.68 and 3,267 is: 4,899.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.58 : 14,760.68 = 3,267 : x
  2. Step 2: Convert to fraction form
    9,842.58/14,760.68 = 3,267/x
  3. Step 3: Cross multiply
    9,842.58x = 14,760.68 × 3,267
  4. Step 4: Simplify right side
    9,842.58x = 48,223,143.60
  5. Step 5: Solve for x
    x = 48,223,143.60/9,842.58
  6. Step 6: Final answer
    x = 4,899.44

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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.