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Finding the Fourth Proportional to 4,059.50, 6,089.26 and 981.50

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Solution

The fourth proportional to 4,059.50, 6,089.26 and 981.50 is: 1,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.50 : 6,089.26 = 981.50 : x
  2. Step 2: Convert to fraction form
    4,059.50/6,089.26 = 981.50/x
  3. Step 3: Cross multiply
    4,059.50x = 6,089.26 × 981.50
  4. Step 4: Simplify right side
    4,059.50x = 5,976,608.69
  5. Step 5: Solve for x
    x = 5,976,608.69/4,059.50
  6. Step 6: Final answer
    x = 1,472.25

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Double scale
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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.