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Finding the Fourth Proportional to 10,202.29, 14,080.54 and 5,726.29

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Solution

The fourth proportional to 10,202.29, 14,080.54 and 5,726.29 is: 7,903.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.29 : 14,080.54 = 5,726.29 : x
  2. Step 2: Convert to fraction form
    10,202.29/14,080.54 = 5,726.29/x
  3. Step 3: Cross multiply
    10,202.29x = 14,080.54 × 5,726.29
  4. Step 4: Simplify right side
    10,202.29x = 80,629,195.14
  5. Step 5: Solve for x
    x = 80,629,195.14/10,202.29
  6. Step 6: Final answer
    x = 7,903.05

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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.