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Finding the Fourth Proportional to 4,975.73, 7,464.45 and 2,477.09

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Solution

The fourth proportional to 4,975.73, 7,464.45 and 2,477.09 is: 3,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.73 : 7,464.45 = 2,477.09 : x
  2. Step 2: Convert to fraction form
    4,975.73/7,464.45 = 2,477.09/x
  3. Step 3: Cross multiply
    4,975.73x = 7,464.45 × 2,477.09
  4. Step 4: Simplify right side
    4,975.73x = 18,490,077.13
  5. Step 5: Solve for x
    x = 18,490,077.13/4,975.73
  6. Step 6: Final answer
    x = 3,716.06

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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.