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Finding the Fourth Proportional to 5,986.76, 8,263.64 and 4,097.64

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Solution

The fourth proportional to 5,986.76, 8,263.64 and 4,097.64 is: 5,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.76 : 8,263.64 = 4,097.64 : x
  2. Step 2: Convert to fraction form
    5,986.76/8,263.64 = 4,097.64/x
  3. Step 3: Cross multiply
    5,986.76x = 8,263.64 × 4,097.64
  4. Step 4: Simplify right side
    5,986.76x = 33,861,401.32
  5. Step 5: Solve for x
    x = 33,861,401.32/5,986.76
  6. Step 6: Final answer
    x = 5,656.05

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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.