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Finding the Fourth Proportional to 5,684.69, 8,527.10 and 1,986.92

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Solution

The fourth proportional to 5,684.69, 8,527.10 and 1,986.92 is: 2,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.69 : 8,527.10 = 1,986.92 : x
  2. Step 2: Convert to fraction form
    5,684.69/8,527.10 = 1,986.92/x
  3. Step 3: Cross multiply
    5,684.69x = 8,527.10 × 1,986.92
  4. Step 4: Simplify right side
    5,684.69x = 16,942,644.94
  5. Step 5: Solve for x
    x = 16,942,644.94/5,684.69
  6. Step 6: Final answer
    x = 2,980.40

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1.5x scale

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.