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Finding the Fourth Proportional to 6,214.64, 8,573.76 and 3,976.04

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Solution

The fourth proportional to 6,214.64, 8,573.76 and 3,976.04 is: 5,485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.64 : 8,573.76 = 3,976.04 : x
  2. Step 2: Convert to fraction form
    6,214.64/8,573.76 = 3,976.04/x
  3. Step 3: Cross multiply
    6,214.64x = 8,573.76 × 3,976.04
  4. Step 4: Simplify right side
    6,214.64x = 34,089,612.71
  5. Step 5: Solve for x
    x = 34,089,612.71/6,214.64
  6. Step 6: Final answer
    x = 5,485.37

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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.