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Finding the Fourth Proportional to 7,684.85, 11,526.13 and 2,137.62

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Solution

The fourth proportional to 7,684.85, 11,526.13 and 2,137.62 is: 3,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.85 : 11,526.13 = 2,137.62 : x
  2. Step 2: Convert to fraction form
    7,684.85/11,526.13 = 2,137.62/x
  3. Step 3: Cross multiply
    7,684.85x = 11,526.13 × 2,137.62
  4. Step 4: Simplify right side
    7,684.85x = 24,638,531.91
  5. Step 5: Solve for x
    x = 24,638,531.91/7,684.85
  6. Step 6: Final answer
    x = 3,206.12

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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.