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Finding the Fourth Proportional to 6,632.44, 9,152.76 and 3,837.94

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Solution

The fourth proportional to 6,632.44, 9,152.76 and 3,837.94 is: 5,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.44 : 9,152.76 = 3,837.94 : x
  2. Step 2: Convert to fraction form
    6,632.44/9,152.76 = 3,837.94/x
  3. Step 3: Cross multiply
    6,632.44x = 9,152.76 × 3,837.94
  4. Step 4: Simplify right side
    6,632.44x = 35,127,735.22
  5. Step 5: Solve for x
    x = 35,127,735.22/6,632.44
  6. Step 6: Final answer
    x = 5,296.35

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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.