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Finding the Fourth Proportional to 6,634.64, 9,152 and 4,146.32

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Solution

The fourth proportional to 6,634.64, 9,152 and 4,146.32 is: 5,719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.64 : 9,152 = 4,146.32 : x
  2. Step 2: Convert to fraction form
    6,634.64/9,152 = 4,146.32/x
  3. Step 3: Cross multiply
    6,634.64x = 9,152 × 4,146.32
  4. Step 4: Simplify right side
    6,634.64x = 37,947,120.64
  5. Step 5: Solve for x
    x = 37,947,120.64/6,634.64
  6. Step 6: Final answer
    x = 5,719.54

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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.