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Finding the Fourth Proportional to 14,832.76, 20,460.32 and 9,797

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Solution

The fourth proportional to 14,832.76, 20,460.32 and 9,797 is: 13,513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,832.76 : 20,460.32 = 9,797 : x
  2. Step 2: Convert to fraction form
    14,832.76/20,460.32 = 9,797/x
  3. Step 3: Cross multiply
    14,832.76x = 20,460.32 × 9,797
  4. Step 4: Simplify right side
    14,832.76x = 200,449,755.04
  5. Step 5: Solve for x
    x = 200,449,755.04/14,832.76
  6. Step 6: Final answer
    x = 13,513.99

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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.