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Finding the Fourth Proportional to 9,782.53, 14,640.99 and 8,027.46

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Solution

The fourth proportional to 9,782.53, 14,640.99 and 8,027.46 is: 12,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.53 : 14,640.99 = 8,027.46 : x
  2. Step 2: Convert to fraction form
    9,782.53/14,640.99 = 8,027.46/x
  3. Step 3: Cross multiply
    9,782.53x = 14,640.99 × 8,027.46
  4. Step 4: Simplify right side
    9,782.53x = 117,529,978.12
  5. Step 5: Solve for x
    x = 117,529,978.12/9,782.53
  6. Step 6: Final answer
    x = 12,014.27

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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.