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Finding the Fourth Proportional to 6,516.69, 9,774.55 and 2,074.18

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Solution

The fourth proportional to 6,516.69, 9,774.55 and 2,074.18 is: 3,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.69 : 9,774.55 = 2,074.18 : x
  2. Step 2: Convert to fraction form
    6,516.69/9,774.55 = 2,074.18/x
  3. Step 3: Cross multiply
    6,516.69x = 9,774.55 × 2,074.18
  4. Step 4: Simplify right side
    6,516.69x = 20,274,146.50
  5. Step 5: Solve for x
    x = 20,274,146.50/6,516.69
  6. Step 6: Final answer
    x = 3,111.11

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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.