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Finding the Fourth Proportional to 6,492.46, 9,736.62 and 2,108.86

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Solution

The fourth proportional to 6,492.46, 9,736.62 and 2,108.86 is: 3,162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.46 : 9,736.62 = 2,108.86 : x
  2. Step 2: Convert to fraction form
    6,492.46/9,736.62 = 2,108.86/x
  3. Step 3: Cross multiply
    6,492.46x = 9,736.62 × 2,108.86
  4. Step 4: Simplify right side
    6,492.46x = 20,533,168.45
  5. Step 5: Solve for x
    x = 20,533,168.45/6,492.46
  6. Step 6: Final answer
    x = 3,162.62

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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.