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Finding the Fourth Proportional to 9,658.83, 14,489.28 and 3,083.49

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Solution

The fourth proportional to 9,658.83, 14,489.28 and 3,083.49 is: 4,625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.83 : 14,489.28 = 3,083.49 : x
  2. Step 2: Convert to fraction form
    9,658.83/14,489.28 = 3,083.49/x
  3. Step 3: Cross multiply
    9,658.83x = 14,489.28 × 3,083.49
  4. Step 4: Simplify right side
    9,658.83x = 44,677,549.99
  5. Step 5: Solve for x
    x = 44,677,549.99/9,658.83
  6. Step 6: Final answer
    x = 4,625.57

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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.