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Finding the Fourth Proportional to 4,633.55, 6,949.61 and 1,513.54

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Solution

The fourth proportional to 4,633.55, 6,949.61 and 1,513.54 is: 2,270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.55 : 6,949.61 = 1,513.54 : x
  2. Step 2: Convert to fraction form
    4,633.55/6,949.61 = 1,513.54/x
  3. Step 3: Cross multiply
    4,633.55x = 6,949.61 × 1,513.54
  4. Step 4: Simplify right side
    4,633.55x = 10,518,512.72
  5. Step 5: Solve for x
    x = 10,518,512.72/4,633.55
  6. Step 6: Final answer
    x = 2,270.08

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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.