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Finding the Fourth Proportional to 10,434, 14,399.56 and 6,018

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Solution

The fourth proportional to 10,434, 14,399.56 and 6,018 is: 8,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434 : 14,399.56 = 6,018 : x
  2. Step 2: Convert to fraction form
    10,434/14,399.56 = 6,018/x
  3. Step 3: Cross multiply
    10,434x = 14,399.56 × 6,018
  4. Step 4: Simplify right side
    10,434x = 86,656,552.08
  5. Step 5: Solve for x
    x = 86,656,552.08/10,434
  6. Step 6: Final answer
    x = 8,305.21

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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.