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Finding the Fourth Proportional to 12,208.17, 16,842.51 and 7,964.22

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Solution

The fourth proportional to 12,208.17, 16,842.51 and 7,964.22 is: 10,987.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.17 : 16,842.51 = 7,964.22 : x
  2. Step 2: Convert to fraction form
    12,208.17/16,842.51 = 7,964.22/x
  3. Step 3: Cross multiply
    12,208.17x = 16,842.51 × 7,964.22
  4. Step 4: Simplify right side
    12,208.17x = 134,137,454.99
  5. Step 5: Solve for x
    x = 134,137,454.99/12,208.17
  6. Step 6: Final answer
    x = 10,987.52

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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.