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Finding the Fourth Proportional to 10,392.56, 14,339.36 and 6,200

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Solution

The fourth proportional to 10,392.56, 14,339.36 and 6,200 is: 8,554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.56 : 14,339.36 = 6,200 : x
  2. Step 2: Convert to fraction form
    10,392.56/14,339.36 = 6,200/x
  3. Step 3: Cross multiply
    10,392.56x = 14,339.36 × 6,200
  4. Step 4: Simplify right side
    10,392.56x = 88,904,032
  5. Step 5: Solve for x
    x = 88,904,032/10,392.56
  6. Step 6: Final answer
    x = 8,554.58

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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.