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Finding the Fourth Proportional to 8,305.20, 12,457.80 and 5,233.20

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Solution

The fourth proportional to 8,305.20, 12,457.80 and 5,233.20 is: 7,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.20 : 12,457.80 = 5,233.20 : x
  2. Step 2: Convert to fraction form
    8,305.20/12,457.80 = 5,233.20/x
  3. Step 3: Cross multiply
    8,305.20x = 12,457.80 × 5,233.20
  4. Step 4: Simplify right side
    8,305.20x = 65,194,158.96
  5. Step 5: Solve for x
    x = 65,194,158.96/8,305.20
  6. Step 6: Final answer
    x = 7,849.80

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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.