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Finding the Fourth Proportional to 4,829.73, 7,201.34 and 4,742.25

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Solution

The fourth proportional to 4,829.73, 7,201.34 and 4,742.25 is: 7,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.73 : 7,201.34 = 4,742.25 : x
  2. Step 2: Convert to fraction form
    4,829.73/7,201.34 = 4,742.25/x
  3. Step 3: Cross multiply
    4,829.73x = 7,201.34 × 4,742.25
  4. Step 4: Simplify right side
    4,829.73x = 34,150,530.90
  5. Step 5: Solve for x
    x = 34,150,530.90/4,829.73
  6. Step 6: Final answer
    x = 7,070.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.