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Finding the Fourth Proportional to 4,609.38, 6,361 and 2,513.50

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Solution

The fourth proportional to 4,609.38, 6,361 and 2,513.50 is: 3,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.38 : 6,361 = 2,513.50 : x
  2. Step 2: Convert to fraction form
    4,609.38/6,361 = 2,513.50/x
  3. Step 3: Cross multiply
    4,609.38x = 6,361 × 2,513.50
  4. Step 4: Simplify right side
    4,609.38x = 15,988,373.50
  5. Step 5: Solve for x
    x = 15,988,373.50/4,609.38
  6. Step 6: Final answer
    x = 3,468.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.