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Finding the Fourth Proportional to 30,995.92, 46,483 and 10,213.84

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Solution

The fourth proportional to 30,995.92, 46,483 and 10,213.84 is: 15,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,995.92 : 46,483 = 10,213.84 : x
  2. Step 2: Convert to fraction form
    30,995.92/46,483 = 10,213.84/x
  3. Step 3: Cross multiply
    30,995.92x = 46,483 × 10,213.84
  4. Step 4: Simplify right side
    30,995.92x = 474,769,924.72
  5. Step 5: Solve for x
    x = 474,769,924.72/30,995.92
  6. Step 6: Final answer
    x = 15,317.17

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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.