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Finding the Fourth Proportional to 10,143.10, 13,995.07 and 5,891.63

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Solution

The fourth proportional to 10,143.10, 13,995.07 and 5,891.63 is: 8,129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.10 : 13,995.07 = 5,891.63 : x
  2. Step 2: Convert to fraction form
    10,143.10/13,995.07 = 5,891.63/x
  3. Step 3: Cross multiply
    10,143.10x = 13,995.07 × 5,891.63
  4. Step 4: Simplify right side
    10,143.10x = 82,453,788.99
  5. Step 5: Solve for x
    x = 82,453,788.99/10,143.10
  6. Step 6: Final answer
    x = 8,129.06

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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.