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Finding the Fourth Proportional to 6,662.14, 9,193.70 and 3,678.10

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Solution

The fourth proportional to 6,662.14, 9,193.70 and 3,678.10 is: 5,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.14 : 9,193.70 = 3,678.10 : x
  2. Step 2: Convert to fraction form
    6,662.14/9,193.70 = 3,678.10/x
  3. Step 3: Cross multiply
    6,662.14x = 9,193.70 × 3,678.10
  4. Step 4: Simplify right side
    6,662.14x = 33,815,347.97
  5. Step 5: Solve for x
    x = 33,815,347.97/6,662.14
  6. Step 6: Final answer
    x = 5,075.75

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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.