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Finding the Fourth Proportional to 11,658.13, 16,092.89 and 6,941.50

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Solution

The fourth proportional to 11,658.13, 16,092.89 and 6,941.50 is: 9,582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.13 : 16,092.89 = 6,941.50 : x
  2. Step 2: Convert to fraction form
    11,658.13/16,092.89 = 6,941.50/x
  3. Step 3: Cross multiply
    11,658.13x = 16,092.89 × 6,941.50
  4. Step 4: Simplify right side
    11,658.13x = 111,708,795.94
  5. Step 5: Solve for x
    x = 111,708,795.94/11,658.13
  6. Step 6: Final answer
    x = 9,582.05

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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.