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Finding the Fourth Proportional to 4,826.64, 7,243.62 and 3,182.64

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Solution

The fourth proportional to 4,826.64, 7,243.62 and 3,182.64 is: 4,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.64 : 7,243.62 = 3,182.64 : x
  2. Step 2: Convert to fraction form
    4,826.64/7,243.62 = 3,182.64/x
  3. Step 3: Cross multiply
    4,826.64x = 7,243.62 × 3,182.64
  4. Step 4: Simplify right side
    4,826.64x = 23,053,834.76
  5. Step 5: Solve for x
    x = 23,053,834.76/4,826.64
  6. Step 6: Final answer
    x = 4,776.37

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1.5x scale

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.