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Finding the Fourth Proportional to 4,056.41, 6,084.62 and 978.41

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Solution

The fourth proportional to 4,056.41, 6,084.62 and 978.41 is: 1,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.41 : 6,084.62 = 978.41 : x
  2. Step 2: Convert to fraction form
    4,056.41/6,084.62 = 978.41/x
  3. Step 3: Cross multiply
    4,056.41x = 6,084.62 × 978.41
  4. Step 4: Simplify right side
    4,056.41x = 5,953,217.74
  5. Step 5: Solve for x
    x = 5,953,217.74/4,056.41
  6. Step 6: Final answer
    x = 1,467.61

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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.