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Finding the Fourth Proportional to 17,755.98, 24,504 and 9,798.02

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Solution

The fourth proportional to 17,755.98, 24,504 and 9,798.02 is: 13,521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,755.98 : 24,504 = 9,798.02 : x
  2. Step 2: Convert to fraction form
    17,755.98/24,504 = 9,798.02/x
  3. Step 3: Cross multiply
    17,755.98x = 24,504 × 9,798.02
  4. Step 4: Simplify right side
    17,755.98x = 240,090,682.08
  5. Step 5: Solve for x
    x = 240,090,682.08/17,755.98
  6. Step 6: Final answer
    x = 13,521.68

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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.