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Finding the Fourth Proportional to 11,605.82, 16,016.02 and 6,300.64

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Solution

The fourth proportional to 11,605.82, 16,016.02 and 6,300.64 is: 8,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.82 : 16,016.02 = 6,300.64 : x
  2. Step 2: Convert to fraction form
    11,605.82/16,016.02 = 6,300.64/x
  3. Step 3: Cross multiply
    11,605.82x = 16,016.02 × 6,300.64
  4. Step 4: Simplify right side
    11,605.82x = 100,911,064.67
  5. Step 5: Solve for x
    x = 100,911,064.67/11,605.82
  6. Step 6: Final answer
    x = 8,694.87

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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.