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Finding the Fourth Proportional to 10,857.29, 14,983.05 and 5,889.29

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Solution

The fourth proportional to 10,857.29, 14,983.05 and 5,889.29 is: 8,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.29 : 14,983.05 = 5,889.29 : x
  2. Step 2: Convert to fraction form
    10,857.29/14,983.05 = 5,889.29/x
  3. Step 3: Cross multiply
    10,857.29x = 14,983.05 × 5,889.29
  4. Step 4: Simplify right side
    10,857.29x = 88,239,451.62
  5. Step 5: Solve for x
    x = 88,239,451.62/10,857.29
  6. Step 6: Final answer
    x = 8,127.21

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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.