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Finding the Fourth Proportional to 14,496.85, 21,732.74 and 6,485.48

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Solution

The fourth proportional to 14,496.85, 21,732.74 and 6,485.48 is: 9,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.85 : 21,732.74 = 6,485.48 : x
  2. Step 2: Convert to fraction form
    14,496.85/21,732.74 = 6,485.48/x
  3. Step 3: Cross multiply
    14,496.85x = 21,732.74 × 6,485.48
  4. Step 4: Simplify right side
    14,496.85x = 140,947,273.26
  5. Step 5: Solve for x
    x = 140,947,273.26/14,496.85
  6. Step 6: Final answer
    x = 9,722.61

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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.