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Finding the Fourth Proportional to 6,212.76, 8,569.98 and 4,199.64

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Solution

The fourth proportional to 6,212.76, 8,569.98 and 4,199.64 is: 5,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.76 : 8,569.98 = 4,199.64 : x
  2. Step 2: Convert to fraction form
    6,212.76/8,569.98 = 4,199.64/x
  3. Step 3: Cross multiply
    6,212.76x = 8,569.98 × 4,199.64
  4. Step 4: Simplify right side
    6,212.76x = 35,990,830.81
  5. Step 5: Solve for x
    x = 35,990,830.81/6,212.76
  6. Step 6: Final answer
    x = 5,793.05

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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.