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Finding the Fourth Proportional to 5,611.96, 7,741.02 and 4,491.64

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Solution

The fourth proportional to 5,611.96, 7,741.02 and 4,491.64 is: 6,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.96 : 7,741.02 = 4,491.64 : x
  2. Step 2: Convert to fraction form
    5,611.96/7,741.02 = 4,491.64/x
  3. Step 3: Cross multiply
    5,611.96x = 7,741.02 × 4,491.64
  4. Step 4: Simplify right side
    5,611.96x = 34,769,875.07
  5. Step 5: Solve for x
    x = 34,769,875.07/5,611.96
  6. Step 6: Final answer
    x = 6,195.67

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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.