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Finding the Fourth Proportional to 7,684.57, 11,526.17 and 2,137.79

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Solution

The fourth proportional to 7,684.57, 11,526.17 and 2,137.79 is: 3,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.57 : 11,526.17 = 2,137.79 : x
  2. Step 2: Convert to fraction form
    7,684.57/11,526.17 = 2,137.79/x
  3. Step 3: Cross multiply
    7,684.57x = 11,526.17 × 2,137.79
  4. Step 4: Simplify right side
    7,684.57x = 24,640,567.13
  5. Step 5: Solve for x
    x = 24,640,567.13/7,684.57
  6. Step 6: Final answer
    x = 3,206.50

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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.