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Finding the Fourth Proportional to 4,774.73, 7,160.73 and 1,653.92

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Solution

The fourth proportional to 4,774.73, 7,160.73 and 1,653.92 is: 2,480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.73 : 7,160.73 = 1,653.92 : x
  2. Step 2: Convert to fraction form
    4,774.73/7,160.73 = 1,653.92/x
  3. Step 3: Cross multiply
    4,774.73x = 7,160.73 × 1,653.92
  4. Step 4: Simplify right side
    4,774.73x = 11,843,274.56
  5. Step 5: Solve for x
    x = 11,843,274.56/4,774.73
  6. Step 6: Final answer
    x = 2,480.41

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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.