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Finding the Fourth Proportional to 11,698.99, 16,145.04 and 6,394.12

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Solution

The fourth proportional to 11,698.99, 16,145.04 and 6,394.12 is: 8,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.99 : 16,145.04 = 6,394.12 : x
  2. Step 2: Convert to fraction form
    11,698.99/16,145.04 = 6,394.12/x
  3. Step 3: Cross multiply
    11,698.99x = 16,145.04 × 6,394.12
  4. Step 4: Simplify right side
    11,698.99x = 103,233,323.16
  5. Step 5: Solve for x
    x = 103,233,323.16/11,698.99
  6. Step 6: Final answer
    x = 8,824.12

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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.