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Finding the Fourth Proportional to 12,009.96, 16,571.07 and 6,971.31

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Solution

The fourth proportional to 12,009.96, 16,571.07 and 6,971.31 is: 9,618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.96 : 16,571.07 = 6,971.31 : x
  2. Step 2: Convert to fraction form
    12,009.96/16,571.07 = 6,971.31/x
  3. Step 3: Cross multiply
    12,009.96x = 16,571.07 × 6,971.31
  4. Step 4: Simplify right side
    12,009.96x = 115,522,066.00
  5. Step 5: Solve for x
    x = 115,522,066.00/12,009.96
  6. Step 6: Final answer
    x = 9,618.86

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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.