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Finding the Fourth Proportional to 12,203.78, 16,841.12 and 6,899.64

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Solution

The fourth proportional to 12,203.78, 16,841.12 and 6,899.64 is: 9,521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.78 : 16,841.12 = 6,899.64 : x
  2. Step 2: Convert to fraction form
    12,203.78/16,841.12 = 6,899.64/x
  3. Step 3: Cross multiply
    12,203.78x = 16,841.12 × 6,899.64
  4. Step 4: Simplify right side
    12,203.78x = 116,197,665.20
  5. Step 5: Solve for x
    x = 116,197,665.20/12,203.78
  6. Step 6: Final answer
    x = 9,521.45

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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.