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Finding the Fourth Proportional to 14,798.54, 20,422.49 and 8,084.68

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Solution

The fourth proportional to 14,798.54, 20,422.49 and 8,084.68 is: 11,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,798.54 : 20,422.49 = 8,084.68 : x
  2. Step 2: Convert to fraction form
    14,798.54/20,422.49 = 8,084.68/x
  3. Step 3: Cross multiply
    14,798.54x = 20,422.49 × 8,084.68
  4. Step 4: Simplify right side
    14,798.54x = 165,109,296.45
  5. Step 5: Solve for x
    x = 165,109,296.45/14,798.54
  6. Step 6: Final answer
    x = 11,157.13

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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.