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Finding the Fourth Proportional to 4,651.28, 6,974.60 and 1,689.60

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Solution

The fourth proportional to 4,651.28, 6,974.60 and 1,689.60 is: 2,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.28 : 6,974.60 = 1,689.60 : x
  2. Step 2: Convert to fraction form
    4,651.28/6,974.60 = 1,689.60/x
  3. Step 3: Cross multiply
    4,651.28x = 6,974.60 × 1,689.60
  4. Step 4: Simplify right side
    4,651.28x = 11,784,284.16
  5. Step 5: Solve for x
    x = 11,784,284.16/4,651.28
  6. Step 6: Final answer
    x = 2,533.56

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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.