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Finding the Fourth Proportional to 6,570.08, 9,858.90 and 3,648.14

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Solution

The fourth proportional to 6,570.08, 9,858.90 and 3,648.14 is: 5,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.08 : 9,858.90 = 3,648.14 : x
  2. Step 2: Convert to fraction form
    6,570.08/9,858.90 = 3,648.14/x
  3. Step 3: Cross multiply
    6,570.08x = 9,858.90 × 3,648.14
  4. Step 4: Simplify right side
    6,570.08x = 35,966,607.27
  5. Step 5: Solve for x
    x = 35,966,607.27/6,570.08
  6. Step 6: Final answer
    x = 5,474.31

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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.