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Finding the Fourth Proportional to 27,796.40, 41,696.76 and 8,075.24

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Solution

The fourth proportional to 27,796.40, 41,696.76 and 8,075.24 is: 12,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796.40 : 41,696.76 = 8,075.24 : x
  2. Step 2: Convert to fraction form
    27,796.40/41,696.76 = 8,075.24/x
  3. Step 3: Cross multiply
    27,796.40x = 41,696.76 × 8,075.24
  4. Step 4: Simplify right side
    27,796.40x = 336,711,344.22
  5. Step 5: Solve for x
    x = 336,711,344.22/27,796.40
  6. Step 6: Final answer
    x = 12,113.49

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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.