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Finding the Fourth Proportional to 4,761.06, 7,142.70 and 1,473.98

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Solution

The fourth proportional to 4,761.06, 7,142.70 and 1,473.98 is: 2,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.06 : 7,142.70 = 1,473.98 : x
  2. Step 2: Convert to fraction form
    4,761.06/7,142.70 = 1,473.98/x
  3. Step 3: Cross multiply
    4,761.06x = 7,142.70 × 1,473.98
  4. Step 4: Simplify right side
    4,761.06x = 10,528,161.23
  5. Step 5: Solve for x
    x = 10,528,161.23/4,761.06
  6. Step 6: Final answer
    x = 2,211.31

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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.