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Finding the Fourth Proportional to 4,975.93, 7,459.42 and 1,900.09

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Solution

The fourth proportional to 4,975.93, 7,459.42 and 1,900.09 is: 2,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.93 : 7,459.42 = 1,900.09 : x
  2. Step 2: Convert to fraction form
    4,975.93/7,459.42 = 1,900.09/x
  3. Step 3: Cross multiply
    4,975.93x = 7,459.42 × 1,900.09
  4. Step 4: Simplify right side
    4,975.93x = 14,173,559.85
  5. Step 5: Solve for x
    x = 14,173,559.85/4,975.93
  6. Step 6: Final answer
    x = 2,848.42

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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.