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Finding the Fourth Proportional to 14,661, 20,233.46 and 8,038.28

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Solution

The fourth proportional to 14,661, 20,233.46 and 8,038.28 is: 11,093.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661 : 20,233.46 = 8,038.28 : x
  2. Step 2: Convert to fraction form
    14,661/20,233.46 = 8,038.28/x
  3. Step 3: Cross multiply
    14,661x = 20,233.46 × 8,038.28
  4. Step 4: Simplify right side
    14,661x = 162,642,216.85
  5. Step 5: Solve for x
    x = 162,642,216.85/14,661
  6. Step 6: Final answer
    x = 11,093.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.