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Finding the Fourth Proportional to 11,126.16, 16,706.16 and 6,991.92

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Solution

The fourth proportional to 11,126.16, 16,706.16 and 6,991.92 is: 10,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,126.16 : 16,706.16 = 6,991.92 : x
  2. Step 2: Convert to fraction form
    11,126.16/16,706.16 = 6,991.92/x
  3. Step 3: Cross multiply
    11,126.16x = 16,706.16 × 6,991.92
  4. Step 4: Simplify right side
    11,126.16x = 116,808,134.23
  5. Step 5: Solve for x
    x = 116,808,134.23/11,126.16
  6. Step 6: Final answer
    x = 10,498.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.