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Finding the Fourth Proportional to 6,431.67, 9,649.17 and 1,814.67

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Solution

The fourth proportional to 6,431.67, 9,649.17 and 1,814.67 is: 2,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.67 : 9,649.17 = 1,814.67 : x
  2. Step 2: Convert to fraction form
    6,431.67/9,649.17 = 1,814.67/x
  3. Step 3: Cross multiply
    6,431.67x = 9,649.17 × 1,814.67
  4. Step 4: Simplify right side
    6,431.67x = 17,510,059.32
  5. Step 5: Solve for x
    x = 17,510,059.32/6,431.67
  6. Step 6: Final answer
    x = 2,722.47

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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.