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Finding the Fourth Proportional to 9,783, 14,675.26 and 4,847.67

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Solution

The fourth proportional to 9,783, 14,675.26 and 4,847.67 is: 7,271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783 : 14,675.26 = 4,847.67 : x
  2. Step 2: Convert to fraction form
    9,783/14,675.26 = 4,847.67/x
  3. Step 3: Cross multiply
    9,783x = 14,675.26 × 4,847.67
  4. Step 4: Simplify right side
    9,783x = 71,140,817.64
  5. Step 5: Solve for x
    x = 71,140,817.64/9,783
  6. Step 6: Final answer
    x = 7,271.88

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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.