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Finding the Fourth Proportional to 4,761.96, 7,128.06 and 4,062.12

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Solution

The fourth proportional to 4,761.96, 7,128.06 and 4,062.12 is: 6,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.96 : 7,128.06 = 4,062.12 : x
  2. Step 2: Convert to fraction form
    4,761.96/7,128.06 = 4,062.12/x
  3. Step 3: Cross multiply
    4,761.96x = 7,128.06 × 4,062.12
  4. Step 4: Simplify right side
    4,761.96x = 28,955,035.09
  5. Step 5: Solve for x
    x = 28,955,035.09/4,761.96
  6. Step 6: Final answer
    x = 6,080.49

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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.