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Finding the Fourth Proportional to 3,415.52, 5,122.47 and 950.42

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Solution

The fourth proportional to 3,415.52, 5,122.47 and 950.42 is: 1,425.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.52 : 5,122.47 = 950.42 : x
  2. Step 2: Convert to fraction form
    3,415.52/5,122.47 = 950.42/x
  3. Step 3: Cross multiply
    3,415.52x = 5,122.47 × 950.42
  4. Step 4: Simplify right side
    3,415.52x = 4,868,497.94
  5. Step 5: Solve for x
    x = 4,868,497.94/3,415.52
  6. Step 6: Final answer
    x = 1,425.40

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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.