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Finding the Fourth Proportional to 11,658.14, 16,088.04 and 6,352.94

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Solution

The fourth proportional to 11,658.14, 16,088.04 and 6,352.94 is: 8,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.14 : 16,088.04 = 6,352.94 : x
  2. Step 2: Convert to fraction form
    11,658.14/16,088.04 = 6,352.94/x
  3. Step 3: Cross multiply
    11,658.14x = 16,088.04 × 6,352.94
  4. Step 4: Simplify right side
    11,658.14x = 102,206,352.84
  5. Step 5: Solve for x
    x = 102,206,352.84/11,658.14
  6. Step 6: Final answer
    x = 8,766.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.