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Finding the Fourth Proportional to 13,224.26, 19,810.47 and 5,811.14

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Solution

The fourth proportional to 13,224.26, 19,810.47 and 5,811.14 is: 8,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.26 : 19,810.47 = 5,811.14 : x
  2. Step 2: Convert to fraction form
    13,224.26/19,810.47 = 5,811.14/x
  3. Step 3: Cross multiply
    13,224.26x = 19,810.47 × 5,811.14
  4. Step 4: Simplify right side
    13,224.26x = 115,121,414.64
  5. Step 5: Solve for x
    x = 115,121,414.64/13,224.26
  6. Step 6: Final answer
    x = 8,705.32

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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.