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Finding the Fourth Proportional to 6,206.17, 8,564.67 and 3,411.67

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Solution

The fourth proportional to 6,206.17, 8,564.67 and 3,411.67 is: 4,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.17 : 8,564.67 = 3,411.67 : x
  2. Step 2: Convert to fraction form
    6,206.17/8,564.67 = 3,411.67/x
  3. Step 3: Cross multiply
    6,206.17x = 8,564.67 × 3,411.67
  4. Step 4: Simplify right side
    6,206.17x = 29,219,827.70
  5. Step 5: Solve for x
    x = 29,219,827.70/6,206.17
  6. Step 6: Final answer
    x = 4,708.19

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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.