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Finding the Fourth Proportional to 17,097.94, 23,592.49 and 9,543.88

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Solution

The fourth proportional to 17,097.94, 23,592.49 and 9,543.88 is: 13,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.94 : 23,592.49 = 9,543.88 : x
  2. Step 2: Convert to fraction form
    17,097.94/23,592.49 = 9,543.88/x
  3. Step 3: Cross multiply
    17,097.94x = 23,592.49 × 9,543.88
  4. Step 4: Simplify right side
    17,097.94x = 225,163,893.46
  5. Step 5: Solve for x
    x = 225,163,893.46/17,097.94
  6. Step 6: Final answer
    x = 13,169.07

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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.