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Finding the Fourth Proportional to 14,797.92, 20,421 and 8,083.54

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Solution

The fourth proportional to 14,797.92, 20,421 and 8,083.54 is: 11,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.92 : 20,421 = 8,083.54 : x
  2. Step 2: Convert to fraction form
    14,797.92/20,421 = 8,083.54/x
  3. Step 3: Cross multiply
    14,797.92x = 20,421 × 8,083.54
  4. Step 4: Simplify right side
    14,797.92x = 165,073,970.34
  5. Step 5: Solve for x
    x = 165,073,970.34/14,797.92
  6. Step 6: Final answer
    x = 11,155.21

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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.