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Finding the Fourth Proportional to 6,411.69, 9,617.81 and 2,516.94

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Solution

The fourth proportional to 6,411.69, 9,617.81 and 2,516.94 is: 3,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.69 : 9,617.81 = 2,516.94 : x
  2. Step 2: Convert to fraction form
    6,411.69/9,617.81 = 2,516.94/x
  3. Step 3: Cross multiply
    6,411.69x = 9,617.81 × 2,516.94
  4. Step 4: Simplify right side
    6,411.69x = 24,207,438.12
  5. Step 5: Solve for x
    x = 24,207,438.12/6,411.69
  6. Step 6: Final answer
    x = 3,775.52

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1.5x scale

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.