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Finding the Fourth Proportional to 4,259.30, 6,376.80 and 4,137.80

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Solution

The fourth proportional to 4,259.30, 6,376.80 and 4,137.80 is: 6,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.30 : 6,376.80 = 4,137.80 : x
  2. Step 2: Convert to fraction form
    4,259.30/6,376.80 = 4,137.80/x
  3. Step 3: Cross multiply
    4,259.30x = 6,376.80 × 4,137.80
  4. Step 4: Simplify right side
    4,259.30x = 26,385,923.04
  5. Step 5: Solve for x
    x = 26,385,923.04/4,259.30
  6. Step 6: Final answer
    x = 6,194.90

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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.