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Finding the Fourth Proportional to 11,666.70, 17,503.44 and 3,769.05

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Solution

The fourth proportional to 11,666.70, 17,503.44 and 3,769.05 is: 5,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.70 : 17,503.44 = 3,769.05 : x
  2. Step 2: Convert to fraction form
    11,666.70/17,503.44 = 3,769.05/x
  3. Step 3: Cross multiply
    11,666.70x = 17,503.44 × 3,769.05
  4. Step 4: Simplify right side
    11,666.70x = 65,971,340.53
  5. Step 5: Solve for x
    x = 65,971,340.53/11,666.70
  6. Step 6: Final answer
    x = 5,654.67

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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.