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Finding the Fourth Proportional to 13,907.80, 20,834.82 and 7,733.08

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Solution

The fourth proportional to 13,907.80, 20,834.82 and 7,733.08 is: 11,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.80 : 20,834.82 = 7,733.08 : x
  2. Step 2: Convert to fraction form
    13,907.80/20,834.82 = 7,733.08/x
  3. Step 3: Cross multiply
    13,907.80x = 20,834.82 × 7,733.08
  4. Step 4: Simplify right side
    13,907.80x = 161,117,329.85
  5. Step 5: Solve for x
    x = 161,117,329.85/13,907.80
  6. Step 6: Final answer
    x = 11,584.67

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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.