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Finding the Fourth Proportional to 4,633.74, 6,950.74 and 1,513.94

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Solution

The fourth proportional to 4,633.74, 6,950.74 and 1,513.94 is: 2,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.74 : 6,950.74 = 1,513.94 : x
  2. Step 2: Convert to fraction form
    4,633.74/6,950.74 = 1,513.94/x
  3. Step 3: Cross multiply
    4,633.74x = 6,950.74 × 1,513.94
  4. Step 4: Simplify right side
    4,633.74x = 10,523,003.32
  5. Step 5: Solve for x
    x = 10,523,003.32/4,633.74
  6. Step 6: Final answer
    x = 2,270.95

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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.