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Finding the Fourth Proportional to 11,743.94, 16,207.08 and 6,708.08

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Solution

The fourth proportional to 11,743.94, 16,207.08 and 6,708.08 is: 9,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.94 : 16,207.08 = 6,708.08 : x
  2. Step 2: Convert to fraction form
    11,743.94/16,207.08 = 6,708.08/x
  3. Step 3: Cross multiply
    11,743.94x = 16,207.08 × 6,708.08
  4. Step 4: Simplify right side
    11,743.94x = 108,718,389.21
  5. Step 5: Solve for x
    x = 108,718,389.21/11,743.94
  6. Step 6: Final answer
    x = 9,257.40

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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.