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Finding the Fourth Proportional to 6,554.60, 9,830.18 and 4,474.22

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Solution

The fourth proportional to 6,554.60, 9,830.18 and 4,474.22 is: 6,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.60 : 9,830.18 = 4,474.22 : x
  2. Step 2: Convert to fraction form
    6,554.60/9,830.18 = 4,474.22/x
  3. Step 3: Cross multiply
    6,554.60x = 9,830.18 × 4,474.22
  4. Step 4: Simplify right side
    6,554.60x = 43,982,387.96
  5. Step 5: Solve for x
    x = 43,982,387.96/6,554.60
  6. Step 6: Final answer
    x = 6,710.16

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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.