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Finding the Fourth Proportional to 5,142.70, 7,108.59 and 4,734.46

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Solution

The fourth proportional to 5,142.70, 7,108.59 and 4,734.46 is: 6,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.70 : 7,108.59 = 4,734.46 : x
  2. Step 2: Convert to fraction form
    5,142.70/7,108.59 = 4,734.46/x
  3. Step 3: Cross multiply
    5,142.70x = 7,108.59 × 4,734.46
  4. Step 4: Simplify right side
    5,142.70x = 33,655,335.01
  5. Step 5: Solve for x
    x = 33,655,335.01/5,142.70
  6. Step 6: Final answer
    x = 6,544.29

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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.