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Finding the Fourth Proportional to 13,806.96, 19,053.48 and 7,519.32

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Solution

The fourth proportional to 13,806.96, 19,053.48 and 7,519.32 is: 10,376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.96 : 19,053.48 = 7,519.32 : x
  2. Step 2: Convert to fraction form
    13,806.96/19,053.48 = 7,519.32/x
  3. Step 3: Cross multiply
    13,806.96x = 19,053.48 × 7,519.32
  4. Step 4: Simplify right side
    13,806.96x = 143,269,213.23
  5. Step 5: Solve for x
    x = 143,269,213.23/13,806.96
  6. Step 6: Final answer
    x = 10,376.59

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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.