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Finding the Fourth Proportional to 4,829.94, 7,237.35 and 4,650.66

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Solution

The fourth proportional to 4,829.94, 7,237.35 and 4,650.66 is: 6,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.94 : 7,237.35 = 4,650.66 : x
  2. Step 2: Convert to fraction form
    4,829.94/7,237.35 = 4,650.66/x
  3. Step 3: Cross multiply
    4,829.94x = 7,237.35 × 4,650.66
  4. Step 4: Simplify right side
    4,829.94x = 33,658,454.15
  5. Step 5: Solve for x
    x = 33,658,454.15/4,829.94
  6. Step 6: Final answer
    x = 6,968.71

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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.