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Finding the Fourth Proportional to 9,797.88, 13,519.98 and 6,208.44

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Solution

The fourth proportional to 9,797.88, 13,519.98 and 6,208.44 is: 8,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.88 : 13,519.98 = 6,208.44 : x
  2. Step 2: Convert to fraction form
    9,797.88/13,519.98 = 6,208.44/x
  3. Step 3: Cross multiply
    9,797.88x = 13,519.98 × 6,208.44
  4. Step 4: Simplify right side
    9,797.88x = 83,937,984.63
  5. Step 5: Solve for x
    x = 83,937,984.63/9,797.88
  6. Step 6: Final answer
    x = 8,566.95

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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.