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Finding the Fourth Proportional to 7,148.73, 9,866.22 and 4,164.69

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Solution

The fourth proportional to 7,148.73, 9,866.22 and 4,164.69 is: 5,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.73 : 9,866.22 = 4,164.69 : x
  2. Step 2: Convert to fraction form
    7,148.73/9,866.22 = 4,164.69/x
  3. Step 3: Cross multiply
    7,148.73x = 9,866.22 × 4,164.69
  4. Step 4: Simplify right side
    7,148.73x = 41,089,747.77
  5. Step 5: Solve for x
    x = 41,089,747.77/7,148.73
  6. Step 6: Final answer
    x = 5,747.84

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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.