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Finding the Fourth Proportional to 6,319.72, 8,714.74 and 4,194.50

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Solution

The fourth proportional to 6,319.72, 8,714.74 and 4,194.50 is: 5,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.72 : 8,714.74 = 4,194.50 : x
  2. Step 2: Convert to fraction form
    6,319.72/8,714.74 = 4,194.50/x
  3. Step 3: Cross multiply
    6,319.72x = 8,714.74 × 4,194.50
  4. Step 4: Simplify right side
    6,319.72x = 36,553,976.93
  5. Step 5: Solve for x
    x = 36,553,976.93/6,319.72
  6. Step 6: Final answer
    x = 5,784.11

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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.