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Finding the Fourth Proportional to 6,164.16, 8,506 and 3,511.68

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Solution

The fourth proportional to 6,164.16, 8,506 and 3,511.68 is: 4,845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.16 : 8,506 = 3,511.68 : x
  2. Step 2: Convert to fraction form
    6,164.16/8,506 = 3,511.68/x
  3. Step 3: Cross multiply
    6,164.16x = 8,506 × 3,511.68
  4. Step 4: Simplify right side
    6,164.16x = 29,870,350.08
  5. Step 5: Solve for x
    x = 29,870,350.08/6,164.16
  6. Step 6: Final answer
    x = 4,845.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.