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Finding the Fourth Proportional to 27,309.66, 40,964.47 and 7,588.21

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Solution

The fourth proportional to 27,309.66, 40,964.47 and 7,588.21 is: 11,382.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,309.66 : 40,964.47 = 7,588.21 : x
  2. Step 2: Convert to fraction form
    27,309.66/40,964.47 = 7,588.21/x
  3. Step 3: Cross multiply
    27,309.66x = 40,964.47 × 7,588.21
  4. Step 4: Simplify right side
    27,309.66x = 310,846,898.49
  5. Step 5: Solve for x
    x = 310,846,898.49/27,309.66
  6. Step 6: Final answer
    x = 11,382.31

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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.