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Finding the Fourth Proportional to 6,554.30, 9,830.63 and 2,654.96

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Solution

The fourth proportional to 6,554.30, 9,830.63 and 2,654.96 is: 3,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.30 : 9,830.63 = 2,654.96 : x
  2. Step 2: Convert to fraction form
    6,554.30/9,830.63 = 2,654.96/x
  3. Step 3: Cross multiply
    6,554.30x = 9,830.63 × 2,654.96
  4. Step 4: Simplify right side
    6,554.30x = 26,099,886.91
  5. Step 5: Solve for x
    x = 26,099,886.91/6,554.30
  6. Step 6: Final answer
    x = 3,982.10

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