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Finding the Fourth Proportional to 4,056.26, 6,084.38 and 978.26

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Solution

The fourth proportional to 4,056.26, 6,084.38 and 978.26 is: 1,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.26 : 6,084.38 = 978.26 : x
  2. Step 2: Convert to fraction form
    4,056.26/6,084.38 = 978.26/x
  3. Step 3: Cross multiply
    4,056.26x = 6,084.38 × 978.26
  4. Step 4: Simplify right side
    4,056.26x = 5,952,105.58
  5. Step 5: Solve for x
    x = 5,952,105.58/4,056.26
  6. Step 6: Final answer
    x = 1,467.39

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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.