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Finding the Fourth Proportional to 6,409.65, 9,615.96 and 2,026.74

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Solution

The fourth proportional to 6,409.65, 9,615.96 and 2,026.74 is: 3,040.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.65 : 9,615.96 = 2,026.74 : x
  2. Step 2: Convert to fraction form
    6,409.65/9,615.96 = 2,026.74/x
  3. Step 3: Cross multiply
    6,409.65x = 9,615.96 × 2,026.74
  4. Step 4: Simplify right side
    6,409.65x = 19,489,050.77
  5. Step 5: Solve for x
    x = 19,489,050.77/6,409.65
  6. Step 6: Final answer
    x = 3,040.58

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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.