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Finding the Fourth Proportional to 11,735.58, 16,182.11 and 7,479.90

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Solution

The fourth proportional to 11,735.58, 16,182.11 and 7,479.90 is: 10,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.58 : 16,182.11 = 7,479.90 : x
  2. Step 2: Convert to fraction form
    11,735.58/16,182.11 = 7,479.90/x
  3. Step 3: Cross multiply
    11,735.58x = 16,182.11 × 7,479.90
  4. Step 4: Simplify right side
    11,735.58x = 121,040,527.19
  5. Step 5: Solve for x
    x = 121,040,527.19/11,735.58
  6. Step 6: Final answer
    x = 10,313.98

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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.