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Finding the Fourth Proportional to 16,999.97, 25,508.31 and 7,646.59

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Solution

The fourth proportional to 16,999.97, 25,508.31 and 7,646.59 is: 11,473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,999.97 : 25,508.31 = 7,646.59 : x
  2. Step 2: Convert to fraction form
    16,999.97/25,508.31 = 7,646.59/x
  3. Step 3: Cross multiply
    16,999.97x = 25,508.31 × 7,646.59
  4. Step 4: Simplify right side
    16,999.97x = 195,051,588.16
  5. Step 5: Solve for x
    x = 195,051,588.16/16,999.97
  6. Step 6: Final answer
    x = 11,473.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.