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Finding the Fourth Proportional to 27,095.94, 40,633.81 and 9,321.63

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Solution

The fourth proportional to 27,095.94, 40,633.81 and 9,321.63 is: 13,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,095.94 : 40,633.81 = 9,321.63 : x
  2. Step 2: Convert to fraction form
    27,095.94/40,633.81 = 9,321.63/x
  3. Step 3: Cross multiply
    27,095.94x = 40,633.81 × 9,321.63
  4. Step 4: Simplify right side
    27,095.94x = 378,773,460.74
  5. Step 5: Solve for x
    x = 378,773,460.74/27,095.94
  6. Step 6: Final answer
    x = 13,978.97

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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.