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Finding the Fourth Proportional to 4,703.46, 6,494.49 and 3,817.86

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Solution

The fourth proportional to 4,703.46, 6,494.49 and 3,817.86 is: 5,271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.46 : 6,494.49 = 3,817.86 : x
  2. Step 2: Convert to fraction form
    4,703.46/6,494.49 = 3,817.86/x
  3. Step 3: Cross multiply
    4,703.46x = 6,494.49 × 3,817.86
  4. Step 4: Simplify right side
    4,703.46x = 24,795,053.59
  5. Step 5: Solve for x
    x = 24,795,053.59/4,703.46
  6. Step 6: Final answer
    x = 5,271.66

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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.