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Finding the Fourth Proportional to 6,176.65, 9,265.17 and 2,016.70

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Solution

The fourth proportional to 6,176.65, 9,265.17 and 2,016.70 is: 3,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.65 : 9,265.17 = 2,016.70 : x
  2. Step 2: Convert to fraction form
    6,176.65/9,265.17 = 2,016.70/x
  3. Step 3: Cross multiply
    6,176.65x = 9,265.17 × 2,016.70
  4. Step 4: Simplify right side
    6,176.65x = 18,685,068.34
  5. Step 5: Solve for x
    x = 18,685,068.34/6,176.65
  6. Step 6: Final answer
    x = 3,025.11

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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.