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Finding the Fourth Proportional to 7,186.06, 9,917.28 and 4,000.06

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Solution

The fourth proportional to 7,186.06, 9,917.28 and 4,000.06 is: 5,520.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.06 : 9,917.28 = 4,000.06 : x
  2. Step 2: Convert to fraction form
    7,186.06/9,917.28 = 4,000.06/x
  3. Step 3: Cross multiply
    7,186.06x = 9,917.28 × 4,000.06
  4. Step 4: Simplify right side
    7,186.06x = 39,669,715.04
  5. Step 5: Solve for x
    x = 39,669,715.04/7,186.06
  6. Step 6: Final answer
    x = 5,520.37

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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.