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Finding the Fourth Proportional to 4,738.07, 7,108.56 and 1,618.07

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Solution

The fourth proportional to 4,738.07, 7,108.56 and 1,618.07 is: 2,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.07 : 7,108.56 = 1,618.07 : x
  2. Step 2: Convert to fraction form
    4,738.07/7,108.56 = 1,618.07/x
  3. Step 3: Cross multiply
    4,738.07x = 7,108.56 × 1,618.07
  4. Step 4: Simplify right side
    4,738.07x = 11,502,147.68
  5. Step 5: Solve for x
    x = 11,502,147.68/4,738.07
  6. Step 6: Final answer
    x = 2,427.60

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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.