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Finding the Fourth Proportional to 11,756.70, 17,630.94 and 5,519.64

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Solution

The fourth proportional to 11,756.70, 17,630.94 and 5,519.64 is: 8,277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.70 : 17,630.94 = 5,519.64 : x
  2. Step 2: Convert to fraction form
    11,756.70/17,630.94 = 5,519.64/x
  3. Step 3: Cross multiply
    11,756.70x = 17,630.94 × 5,519.64
  4. Step 4: Simplify right side
    11,756.70x = 97,316,441.66
  5. Step 5: Solve for x
    x = 97,316,441.66/11,756.70
  6. Step 6: Final answer
    x = 8,277.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.