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Finding the Fourth Proportional to 8,705.50, 13,047.30 and 6,245.14

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Solution

The fourth proportional to 8,705.50, 13,047.30 and 6,245.14 is: 9,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.50 : 13,047.30 = 6,245.14 : x
  2. Step 2: Convert to fraction form
    8,705.50/13,047.30 = 6,245.14/x
  3. Step 3: Cross multiply
    8,705.50x = 13,047.30 × 6,245.14
  4. Step 4: Simplify right side
    8,705.50x = 81,482,215.12
  5. Step 5: Solve for x
    x = 81,482,215.12/8,705.50
  6. Step 6: Final answer
    x = 9,359.85

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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.