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Finding the Fourth Proportional to 6,467.90, 9,705.69 and 6,057.90

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Solution

The fourth proportional to 6,467.90, 9,705.69 and 6,057.90 is: 9,090.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.90 : 9,705.69 = 6,057.90 : x
  2. Step 2: Convert to fraction form
    6,467.90/9,705.69 = 6,057.90/x
  3. Step 3: Cross multiply
    6,467.90x = 9,705.69 × 6,057.90
  4. Step 4: Simplify right side
    6,467.90x = 58,796,099.45
  5. Step 5: Solve for x
    x = 58,796,099.45/6,467.90
  6. Step 6: Final answer
    x = 9,090.45

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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.