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Finding the Fourth Proportional to 30,846.96, 46,270.71 and 7,473.42

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Solution

The fourth proportional to 30,846.96, 46,270.71 and 7,473.42 is: 11,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846.96 : 46,270.71 = 7,473.42 : x
  2. Step 2: Convert to fraction form
    30,846.96/46,270.71 = 7,473.42/x
  3. Step 3: Cross multiply
    30,846.96x = 46,270.71 × 7,473.42
  4. Step 4: Simplify right side
    30,846.96x = 345,800,449.53
  5. Step 5: Solve for x
    x = 345,800,449.53/30,846.96
  6. Step 6: Final answer
    x = 11,210.20

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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.