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Finding the Fourth Proportional to 11,668.50, 16,102.94 and 6,632.93

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Solution

The fourth proportional to 11,668.50, 16,102.94 and 6,632.93 is: 9,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.50 : 16,102.94 = 6,632.93 : x
  2. Step 2: Convert to fraction form
    11,668.50/16,102.94 = 6,632.93/x
  3. Step 3: Cross multiply
    11,668.50x = 16,102.94 × 6,632.93
  4. Step 4: Simplify right side
    11,668.50x = 106,809,680.91
  5. Step 5: Solve for x
    x = 106,809,680.91/11,668.50
  6. Step 6: Final answer
    x = 9,153.68

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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.