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Finding the Fourth Proportional to 10,300.24, 14,206.82 and 6,524.02

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Solution

The fourth proportional to 10,300.24, 14,206.82 and 6,524.02 is: 8,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.24 : 14,206.82 = 6,524.02 : x
  2. Step 2: Convert to fraction form
    10,300.24/14,206.82 = 6,524.02/x
  3. Step 3: Cross multiply
    10,300.24x = 14,206.82 × 6,524.02
  4. Step 4: Simplify right side
    10,300.24x = 92,685,577.82
  5. Step 5: Solve for x
    x = 92,685,577.82/10,300.24
  6. Step 6: Final answer
    x = 8,998.39

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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.