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Finding the Fourth Proportional to 10,434.56, 14,397.44 and 6,016

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Solution

The fourth proportional to 10,434.56, 14,397.44 and 6,016 is: 8,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.56 : 14,397.44 = 6,016 : x
  2. Step 2: Convert to fraction form
    10,434.56/14,397.44 = 6,016/x
  3. Step 3: Cross multiply
    10,434.56x = 14,397.44 × 6,016
  4. Step 4: Simplify right side
    10,434.56x = 86,614,999.04
  5. Step 5: Solve for x
    x = 86,614,999.04/10,434.56
  6. Step 6: Final answer
    x = 8,300.78

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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.