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Finding the Fourth Proportional to 7,059.69, 9,736.99 and 5,170.60

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Solution

The fourth proportional to 7,059.69, 9,736.99 and 5,170.60 is: 7,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.69 : 9,736.99 = 5,170.60 : x
  2. Step 2: Convert to fraction form
    7,059.69/9,736.99 = 5,170.60/x
  3. Step 3: Cross multiply
    7,059.69x = 9,736.99 × 5,170.60
  4. Step 4: Simplify right side
    7,059.69x = 50,346,079.74
  5. Step 5: Solve for x
    x = 50,346,079.74/7,059.69
  6. Step 6: Final answer
    x = 7,131.49

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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.