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Finding the Fourth Proportional to 4,765.64, 7,147.74 and 1,843.58

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Solution

The fourth proportional to 4,765.64, 7,147.74 and 1,843.58 is: 2,765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.64 : 7,147.74 = 1,843.58 : x
  2. Step 2: Convert to fraction form
    4,765.64/7,147.74 = 1,843.58/x
  3. Step 3: Cross multiply
    4,765.64x = 7,147.74 × 1,843.58
  4. Step 4: Simplify right side
    4,765.64x = 13,177,430.51
  5. Step 5: Solve for x
    x = 13,177,430.51/4,765.64
  6. Step 6: Final answer
    x = 2,765.09

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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.