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Finding the Fourth Proportional to 6,705.01, 10,057.97 and 1,774.59

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Solution

The fourth proportional to 6,705.01, 10,057.97 and 1,774.59 is: 2,662.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.01 : 10,057.97 = 1,774.59 : x
  2. Step 2: Convert to fraction form
    6,705.01/10,057.97 = 1,774.59/x
  3. Step 3: Cross multiply
    6,705.01x = 10,057.97 × 1,774.59
  4. Step 4: Simplify right side
    6,705.01x = 17,848,772.98
  5. Step 5: Solve for x
    x = 17,848,772.98/6,705.01
  6. Step 6: Final answer
    x = 2,662.01

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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.