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Finding the Fourth Proportional to 6,662.45, 9,193.20 and 3,678.41

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Solution

The fourth proportional to 6,662.45, 9,193.20 and 3,678.41 is: 5,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.45 : 9,193.20 = 3,678.41 : x
  2. Step 2: Convert to fraction form
    6,662.45/9,193.20 = 3,678.41/x
  3. Step 3: Cross multiply
    6,662.45x = 9,193.20 × 3,678.41
  4. Step 4: Simplify right side
    6,662.45x = 33,816,368.00
  5. Step 5: Solve for x
    x = 33,816,368.00/6,662.45
  6. Step 6: Final answer
    x = 5,075.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.