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Finding the Fourth Proportional to 11,906.40, 16,430.81 and 6,601.08

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Solution

The fourth proportional to 11,906.40, 16,430.81 and 6,601.08 is: 9,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.40 : 16,430.81 = 6,601.08 : x
  2. Step 2: Convert to fraction form
    11,906.40/16,430.81 = 6,601.08/x
  3. Step 3: Cross multiply
    11,906.40x = 16,430.81 × 6,601.08
  4. Step 4: Simplify right side
    11,906.40x = 108,461,058.27
  5. Step 5: Solve for x
    x = 108,461,058.27/11,906.40
  6. Step 6: Final answer
    x = 9,109.48

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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.