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Finding the Fourth Proportional to 6,406.58, 9,611.07 and 2,025.14

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Solution

The fourth proportional to 6,406.58, 9,611.07 and 2,025.14 is: 3,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.58 : 9,611.07 = 2,025.14 : x
  2. Step 2: Convert to fraction form
    6,406.58/9,611.07 = 2,025.14/x
  3. Step 3: Cross multiply
    6,406.58x = 9,611.07 × 2,025.14
  4. Step 4: Simplify right side
    6,406.58x = 19,463,762.30
  5. Step 5: Solve for x
    x = 19,463,762.30/6,406.58
  6. Step 6: Final answer
    x = 3,038.09

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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.