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Finding the Fourth Proportional to 17,097.80, 25,634.55 and 7,742.30

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Solution

The fourth proportional to 17,097.80, 25,634.55 and 7,742.30 is: 11,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.80 : 25,634.55 = 7,742.30 : x
  2. Step 2: Convert to fraction form
    17,097.80/25,634.55 = 7,742.30/x
  3. Step 3: Cross multiply
    17,097.80x = 25,634.55 × 7,742.30
  4. Step 4: Simplify right side
    17,097.80x = 198,470,376.47
  5. Step 5: Solve for x
    x = 198,470,376.47/17,097.80
  6. Step 6: Final answer
    x = 11,607.95

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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.