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Finding the Fourth Proportional to 10,000.14, 13,814.22 and 7,220.22

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Solution

The fourth proportional to 10,000.14, 13,814.22 and 7,220.22 is: 9,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.14 : 13,814.22 = 7,220.22 : x
  2. Step 2: Convert to fraction form
    10,000.14/13,814.22 = 7,220.22/x
  3. Step 3: Cross multiply
    10,000.14x = 13,814.22 × 7,220.22
  4. Step 4: Simplify right side
    10,000.14x = 99,741,707.53
  5. Step 5: Solve for x
    x = 99,741,707.53/10,000.14
  6. Step 6: Final answer
    x = 9,974.03

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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.