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Finding the Fourth Proportional to 6,662.54, 9,193.95 and 3,678.19

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Solution

The fourth proportional to 6,662.54, 9,193.95 and 3,678.19 is: 5,075.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.54 : 9,193.95 = 3,678.19 : x
  2. Step 2: Convert to fraction form
    6,662.54/9,193.95 = 3,678.19/x
  3. Step 3: Cross multiply
    6,662.54x = 9,193.95 × 3,678.19
  4. Step 4: Simplify right side
    6,662.54x = 33,817,094.95
  5. Step 5: Solve for x
    x = 33,817,094.95/6,662.54
  6. Step 6: Final answer
    x = 5,075.71

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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.