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Finding the Fourth Proportional to 4,761.40, 7,142.10 and 4,712.80

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Solution

The fourth proportional to 4,761.40, 7,142.10 and 4,712.80 is: 7,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.40 : 7,142.10 = 4,712.80 : x
  2. Step 2: Convert to fraction form
    4,761.40/7,142.10 = 4,712.80/x
  3. Step 3: Cross multiply
    4,761.40x = 7,142.10 × 4,712.80
  4. Step 4: Simplify right side
    4,761.40x = 33,659,288.88
  5. Step 5: Solve for x
    x = 33,659,288.88/4,761.40
  6. Step 6: Final answer
    x = 7,069.20

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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.