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Finding the Fourth Proportional to 12,076.85, 16,662.90 and 6,971.12

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Solution

The fourth proportional to 12,076.85, 16,662.90 and 6,971.12 is: 9,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.85 : 16,662.90 = 6,971.12 : x
  2. Step 2: Convert to fraction form
    12,076.85/16,662.90 = 6,971.12/x
  3. Step 3: Cross multiply
    12,076.85x = 16,662.90 × 6,971.12
  4. Step 4: Simplify right side
    12,076.85x = 116,158,992.13
  5. Step 5: Solve for x
    x = 116,158,992.13/12,076.85
  6. Step 6: Final answer
    x = 9,618.32

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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.