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Finding the Fourth Proportional to 12,386.25, 17,093.84 and 6,797.25

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Solution

The fourth proportional to 12,386.25, 17,093.84 and 6,797.25 is: 9,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.25 : 17,093.84 = 6,797.25 : x
  2. Step 2: Convert to fraction form
    12,386.25/17,093.84 = 6,797.25/x
  3. Step 3: Cross multiply
    12,386.25x = 17,093.84 × 6,797.25
  4. Step 4: Simplify right side
    12,386.25x = 116,191,069.95
  5. Step 5: Solve for x
    x = 116,191,069.95/12,386.25
  6. Step 6: Final answer
    x = 9,380.65

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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.