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Finding the Fourth Proportional to 27,477.80, 41,214.30 and 9,009.80

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Solution

The fourth proportional to 27,477.80, 41,214.30 and 9,009.80 is: 13,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477.80 : 41,214.30 = 9,009.80 : x
  2. Step 2: Convert to fraction form
    27,477.80/41,214.30 = 9,009.80/x
  3. Step 3: Cross multiply
    27,477.80x = 41,214.30 × 9,009.80
  4. Step 4: Simplify right side
    27,477.80x = 371,332,600.14
  5. Step 5: Solve for x
    x = 371,332,600.14/27,477.80
  6. Step 6: Final answer
    x = 13,513.91

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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.