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Finding the Fourth Proportional to 4,567.88, 6,850.14 and 1,645.40

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Solution

The fourth proportional to 4,567.88, 6,850.14 and 1,645.40 is: 2,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.88 : 6,850.14 = 1,645.40 : x
  2. Step 2: Convert to fraction form
    4,567.88/6,850.14 = 1,645.40/x
  3. Step 3: Cross multiply
    4,567.88x = 6,850.14 × 1,645.40
  4. Step 4: Simplify right side
    4,567.88x = 11,271,220.36
  5. Step 5: Solve for x
    x = 11,271,220.36/4,567.88
  6. Step 6: Final answer
    x = 2,467.49

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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.