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Finding the Fourth Proportional to 5,138.52, 7,708.59 and 1,675.50

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Solution

The fourth proportional to 5,138.52, 7,708.59 and 1,675.50 is: 2,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.52 : 7,708.59 = 1,675.50 : x
  2. Step 2: Convert to fraction form
    5,138.52/7,708.59 = 1,675.50/x
  3. Step 3: Cross multiply
    5,138.52x = 7,708.59 × 1,675.50
  4. Step 4: Simplify right side
    5,138.52x = 12,915,742.55
  5. Step 5: Solve for x
    x = 12,915,742.55/5,138.52
  6. Step 6: Final answer
    x = 2,513.51

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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.