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Finding the Fourth Proportional to 30,814.56, 46,222.11 and 9,754.22

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Solution

The fourth proportional to 30,814.56, 46,222.11 and 9,754.22 is: 14,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814.56 : 46,222.11 = 9,754.22 : x
  2. Step 2: Convert to fraction form
    30,814.56/46,222.11 = 9,754.22/x
  3. Step 3: Cross multiply
    30,814.56x = 46,222.11 × 9,754.22
  4. Step 4: Simplify right side
    30,814.56x = 450,860,745.36
  5. Step 5: Solve for x
    x = 450,860,745.36/30,814.56
  6. Step 6: Final answer
    x = 14,631.42

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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.