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Finding the Fourth Proportional to 13,922.16, 19,213.02 and 7,635.12

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Solution

The fourth proportional to 13,922.16, 19,213.02 and 7,635.12 is: 10,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.16 : 19,213.02 = 7,635.12 : x
  2. Step 2: Convert to fraction form
    13,922.16/19,213.02 = 7,635.12/x
  3. Step 3: Cross multiply
    13,922.16x = 19,213.02 × 7,635.12
  4. Step 4: Simplify right side
    13,922.16x = 146,693,713.26
  5. Step 5: Solve for x
    x = 146,693,713.26/13,922.16
  6. Step 6: Final answer
    x = 10,536.71

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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.