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Finding the Fourth Proportional to 6,554.78, 9,830.46 and 3,265.46

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Solution

The fourth proportional to 6,554.78, 9,830.46 and 3,265.46 is: 4,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.78 : 9,830.46 = 3,265.46 : x
  2. Step 2: Convert to fraction form
    6,554.78/9,830.46 = 3,265.46/x
  3. Step 3: Cross multiply
    6,554.78x = 9,830.46 × 3,265.46
  4. Step 4: Simplify right side
    6,554.78x = 32,100,973.91
  5. Step 5: Solve for x
    x = 32,100,973.91/6,554.78
  6. Step 6: Final answer
    x = 4,897.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.