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Finding the Fourth Proportional to 13,770.43, 19,000.06 and 7,800.73

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Solution

The fourth proportional to 13,770.43, 19,000.06 and 7,800.73 is: 10,763.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.43 : 19,000.06 = 7,800.73 : x
  2. Step 2: Convert to fraction form
    13,770.43/19,000.06 = 7,800.73/x
  3. Step 3: Cross multiply
    13,770.43x = 19,000.06 × 7,800.73
  4. Step 4: Simplify right side
    13,770.43x = 148,214,338.04
  5. Step 5: Solve for x
    x = 148,214,338.04/13,770.43
  6. Step 6: Final answer
    x = 10,763.23

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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.