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Finding the Fourth Proportional to 30,821.66, 46,226.34 and 9,758.12

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Solution

The fourth proportional to 30,821.66, 46,226.34 and 9,758.12 is: 14,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.66 : 46,226.34 = 9,758.12 : x
  2. Step 2: Convert to fraction form
    30,821.66/46,226.34 = 9,758.12/x
  3. Step 3: Cross multiply
    30,821.66x = 46,226.34 × 9,758.12
  4. Step 4: Simplify right side
    30,821.66x = 451,082,172.88
  5. Step 5: Solve for x
    x = 451,082,172.88/30,821.66
  6. Step 6: Final answer
    x = 14,635.23

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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.