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Finding the Fourth Proportional to 6,242.74, 8,611.14 and 3,723.16

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Solution

The fourth proportional to 6,242.74, 8,611.14 and 3,723.16 is: 5,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.74 : 8,611.14 = 3,723.16 : x
  2. Step 2: Convert to fraction form
    6,242.74/8,611.14 = 3,723.16/x
  3. Step 3: Cross multiply
    6,242.74x = 8,611.14 × 3,723.16
  4. Step 4: Simplify right side
    6,242.74x = 32,060,652.00
  5. Step 5: Solve for x
    x = 32,060,652.00/6,242.74
  6. Step 6: Final answer
    x = 5,135.67

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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.