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Finding the Fourth Proportional to 4,562.76, 6,846.27 and 4,489.05

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Solution

The fourth proportional to 4,562.76, 6,846.27 and 4,489.05 is: 6,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.76 : 6,846.27 = 4,489.05 : x
  2. Step 2: Convert to fraction form
    4,562.76/6,846.27 = 4,489.05/x
  3. Step 3: Cross multiply
    4,562.76x = 6,846.27 × 4,489.05
  4. Step 4: Simplify right side
    4,562.76x = 30,733,248.34
  5. Step 5: Solve for x
    x = 30,733,248.34/4,562.76
  6. Step 6: Final answer
    x = 6,735.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.