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Finding the Fourth Proportional to 6,453.74, 9,666.12 and 5,609.96

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Solution

The fourth proportional to 6,453.74, 9,666.12 and 5,609.96 is: 8,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.74 : 9,666.12 = 5,609.96 : x
  2. Step 2: Convert to fraction form
    6,453.74/9,666.12 = 5,609.96/x
  3. Step 3: Cross multiply
    6,453.74x = 9,666.12 × 5,609.96
  4. Step 4: Simplify right side
    6,453.74x = 54,226,546.56
  5. Step 5: Solve for x
    x = 54,226,546.56/6,453.74
  6. Step 6: Final answer
    x = 8,402.34

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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.