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Finding the Fourth Proportional to 12,203.84, 16,841.19 and 6,826.22

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Solution

The fourth proportional to 12,203.84, 16,841.19 and 6,826.22 is: 9,420.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.84 : 16,841.19 = 6,826.22 : x
  2. Step 2: Convert to fraction form
    12,203.84/16,841.19 = 6,826.22/x
  3. Step 3: Cross multiply
    12,203.84x = 16,841.19 × 6,826.22
  4. Step 4: Simplify right side
    12,203.84x = 114,961,549.66
  5. Step 5: Solve for x
    x = 114,961,549.66/12,203.84
  6. Step 6: Final answer
    x = 9,420.11

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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.