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Finding the Fourth Proportional to 4,738.86, 6,525.39 and 4,461.78

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Solution

The fourth proportional to 4,738.86, 6,525.39 and 4,461.78 is: 6,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.86 : 6,525.39 = 4,461.78 : x
  2. Step 2: Convert to fraction form
    4,738.86/6,525.39 = 4,461.78/x
  3. Step 3: Cross multiply
    4,738.86x = 6,525.39 × 4,461.78
  4. Step 4: Simplify right side
    4,738.86x = 29,114,854.59
  5. Step 5: Solve for x
    x = 29,114,854.59/4,738.86
  6. Step 6: Final answer
    x = 6,143.85

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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.