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Finding the Fourth Proportional to 30,992.01, 46,491.09 and 9,926.76

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Solution

The fourth proportional to 30,992.01, 46,491.09 and 9,926.76 is: 14,891.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.01 : 46,491.09 = 9,926.76 : x
  2. Step 2: Convert to fraction form
    30,992.01/46,491.09 = 9,926.76/x
  3. Step 3: Cross multiply
    30,992.01x = 46,491.09 × 9,926.76
  4. Step 4: Simplify right side
    30,992.01x = 461,505,892.57
  5. Step 5: Solve for x
    x = 461,505,892.57/30,992.01
  6. Step 6: Final answer
    x = 14,891.12

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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.