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Finding the Fourth Proportional to 4,924.21, 7,375.46 and 4,070.21

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Solution

The fourth proportional to 4,924.21, 7,375.46 and 4,070.21 is: 6,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.21 : 7,375.46 = 4,070.21 : x
  2. Step 2: Convert to fraction form
    4,924.21/7,375.46 = 4,070.21/x
  3. Step 3: Cross multiply
    4,924.21x = 7,375.46 × 4,070.21
  4. Step 4: Simplify right side
    4,924.21x = 30,019,646.01
  5. Step 5: Solve for x
    x = 30,019,646.01/4,924.21
  6. Step 6: Final answer
    x = 6,096.34

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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.