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Finding the Fourth Proportional to 9,824.98, 13,554.46 and 6,047

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Solution

The fourth proportional to 9,824.98, 13,554.46 and 6,047 is: 8,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.98 : 13,554.46 = 6,047 : x
  2. Step 2: Convert to fraction form
    9,824.98/13,554.46 = 6,047/x
  3. Step 3: Cross multiply
    9,824.98x = 13,554.46 × 6,047
  4. Step 4: Simplify right side
    9,824.98x = 81,963,819.62
  5. Step 5: Solve for x
    x = 81,963,819.62/9,824.98
  6. Step 6: Final answer
    x = 8,342.39

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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.