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Finding the Fourth Proportional to 30,940.32, 46,410.08 and 7,566.96

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Solution

The fourth proportional to 30,940.32, 46,410.08 and 7,566.96 is: 11,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.32 : 46,410.08 = 7,566.96 : x
  2. Step 2: Convert to fraction form
    30,940.32/46,410.08 = 7,566.96/x
  3. Step 3: Cross multiply
    30,940.32x = 46,410.08 × 7,566.96
  4. Step 4: Simplify right side
    30,940.32x = 351,183,181.12
  5. Step 5: Solve for x
    x = 351,183,181.12/30,940.32
  6. Step 6: Final answer
    x = 11,350.34

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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.