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Finding the Fourth Proportional to 3,415.35, 5,123.03 and 950.17

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Solution

The fourth proportional to 3,415.35, 5,123.03 and 950.17 is: 1,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.35 : 5,123.03 = 950.17 : x
  2. Step 2: Convert to fraction form
    3,415.35/5,123.03 = 950.17/x
  3. Step 3: Cross multiply
    3,415.35x = 5,123.03 × 950.17
  4. Step 4: Simplify right side
    3,415.35x = 4,867,744.66
  5. Step 5: Solve for x
    x = 4,867,744.66/3,415.35
  6. Step 6: Final answer
    x = 1,425.26

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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.