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Finding the Fourth Proportional to 6,938.52, 9,575.46 and 4,283.88

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Solution

The fourth proportional to 6,938.52, 9,575.46 and 4,283.88 is: 5,911.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.52 : 9,575.46 = 4,283.88 : x
  2. Step 2: Convert to fraction form
    6,938.52/9,575.46 = 4,283.88/x
  3. Step 3: Cross multiply
    6,938.52x = 9,575.46 × 4,283.88
  4. Step 4: Simplify right side
    6,938.52x = 41,020,121.58
  5. Step 5: Solve for x
    x = 41,020,121.58/6,938.52
  6. Step 6: Final answer
    x = 5,911.94

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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.