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Finding the Fourth Proportional to 4,967.56, 7,451.37 and 1,680.67

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Solution

The fourth proportional to 4,967.56, 7,451.37 and 1,680.67 is: 2,521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.56 : 7,451.37 = 1,680.67 : x
  2. Step 2: Convert to fraction form
    4,967.56/7,451.37 = 1,680.67/x
  3. Step 3: Cross multiply
    4,967.56x = 7,451.37 × 1,680.67
  4. Step 4: Simplify right side
    4,967.56x = 12,523,294.02
  5. Step 5: Solve for x
    x = 12,523,294.02/4,967.56
  6. Step 6: Final answer
    x = 2,521.02

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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.