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Finding the Fourth Proportional to 6,511.86, 8,986.32 and 3,527.73

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Solution

The fourth proportional to 6,511.86, 8,986.32 and 3,527.73 is: 4,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.86 : 8,986.32 = 3,527.73 : x
  2. Step 2: Convert to fraction form
    6,511.86/8,986.32 = 3,527.73/x
  3. Step 3: Cross multiply
    6,511.86x = 8,986.32 × 3,527.73
  4. Step 4: Simplify right side
    6,511.86x = 31,701,310.65
  5. Step 5: Solve for x
    x = 31,701,310.65/6,511.86
  6. Step 6: Final answer
    x = 4,868.24

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1.5x scale

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.