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Finding the Fourth Proportional to 27,801.81, 41,692.59 and 8,075.07

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Solution

The fourth proportional to 27,801.81, 41,692.59 and 8,075.07 is: 12,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,801.81 : 41,692.59 = 8,075.07 : x
  2. Step 2: Convert to fraction form
    27,801.81/41,692.59 = 8,075.07/x
  3. Step 3: Cross multiply
    27,801.81x = 41,692.59 × 8,075.07
  4. Step 4: Simplify right side
    27,801.81x = 336,670,582.73
  5. Step 5: Solve for x
    x = 336,670,582.73/27,801.81
  6. Step 6: Final answer
    x = 12,109.66

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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.