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Finding the Fourth Proportional to 6,160.94, 8,492.11 and 4,814.20

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Solution

The fourth proportional to 6,160.94, 8,492.11 and 4,814.20 is: 6,635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.94 : 8,492.11 = 4,814.20 : x
  2. Step 2: Convert to fraction form
    6,160.94/8,492.11 = 4,814.20/x
  3. Step 3: Cross multiply
    6,160.94x = 8,492.11 × 4,814.20
  4. Step 4: Simplify right side
    6,160.94x = 40,882,673.50
  5. Step 5: Solve for x
    x = 40,882,673.50/6,160.94
  6. Step 6: Final answer
    x = 6,635.79

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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.