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Finding the Fourth Proportional to 8,234.03, 11,362.88 and 4,457.12

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Solution

The fourth proportional to 8,234.03, 11,362.88 and 4,457.12 is: 6,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.03 : 11,362.88 = 4,457.12 : x
  2. Step 2: Convert to fraction form
    8,234.03/11,362.88 = 4,457.12/x
  3. Step 3: Cross multiply
    8,234.03x = 11,362.88 × 4,457.12
  4. Step 4: Simplify right side
    8,234.03x = 50,645,719.71
  5. Step 5: Solve for x
    x = 50,645,719.71/8,234.03
  6. Step 6: Final answer
    x = 6,150.78

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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.