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Finding the Fourth Proportional to 11,668.99, 16,103.60 and 6,364.11

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Solution

The fourth proportional to 11,668.99, 16,103.60 and 6,364.11 is: 8,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.99 : 16,103.60 = 6,364.11 : x
  2. Step 2: Convert to fraction form
    11,668.99/16,103.60 = 6,364.11/x
  3. Step 3: Cross multiply
    11,668.99x = 16,103.60 × 6,364.11
  4. Step 4: Simplify right side
    11,668.99x = 102,484,969.46
  5. Step 5: Solve for x
    x = 102,484,969.46/11,668.99
  6. Step 6: Final answer
    x = 8,782.68

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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.