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Finding the Fourth Proportional to 9,658.90, 14,487.42 and 3,083.92

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Solution

The fourth proportional to 9,658.90, 14,487.42 and 3,083.92 is: 4,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.90 : 14,487.42 = 3,083.92 : x
  2. Step 2: Convert to fraction form
    9,658.90/14,487.42 = 3,083.92/x
  3. Step 3: Cross multiply
    9,658.90x = 14,487.42 × 3,083.92
  4. Step 4: Simplify right side
    9,658.90x = 44,678,044.29
  5. Step 5: Solve for x
    x = 44,678,044.29/9,658.90
  6. Step 6: Final answer
    x = 4,625.58

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1.5x scale

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.