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Finding the Fourth Proportional to 4,902.62, 7,353.75 and 1,204.86

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Solution

The fourth proportional to 4,902.62, 7,353.75 and 1,204.86 is: 1,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.62 : 7,353.75 = 1,204.86 : x
  2. Step 2: Convert to fraction form
    4,902.62/7,353.75 = 1,204.86/x
  3. Step 3: Cross multiply
    4,902.62x = 7,353.75 × 1,204.86
  4. Step 4: Simplify right side
    4,902.62x = 8,860,239.23
  5. Step 5: Solve for x
    x = 8,860,239.23/4,902.62
  6. Step 6: Final answer
    x = 1,807.25

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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.