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Finding the Fourth Proportional to 11,605.96, 16,016.16 and 6,301

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Solution

The fourth proportional to 11,605.96, 16,016.16 and 6,301 is: 8,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.96 : 16,016.16 = 6,301 : x
  2. Step 2: Convert to fraction form
    11,605.96/16,016.16 = 6,301/x
  3. Step 3: Cross multiply
    11,605.96x = 16,016.16 × 6,301
  4. Step 4: Simplify right side
    11,605.96x = 100,917,824.16
  5. Step 5: Solve for x
    x = 100,917,824.16/11,605.96
  6. Step 6: Final answer
    x = 8,695.34

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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.