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Finding the Fourth Proportional to 30,981.51, 46,477.73 and 10,997.12

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Solution

The fourth proportional to 30,981.51, 46,477.73 and 10,997.12 is: 16,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,981.51 : 46,477.73 = 10,997.12 : x
  2. Step 2: Convert to fraction form
    30,981.51/46,477.73 = 10,997.12/x
  3. Step 3: Cross multiply
    30,981.51x = 46,477.73 × 10,997.12
  4. Step 4: Simplify right side
    30,981.51x = 511,121,317.82
  5. Step 5: Solve for x
    x = 511,121,317.82/30,981.51
  6. Step 6: Final answer
    x = 16,497.62

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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.