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Finding the Fourth Proportional to 4,563.51, 6,842.54 and 1,786.88

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Solution

The fourth proportional to 4,563.51, 6,842.54 and 1,786.88 is: 2,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.51 : 6,842.54 = 1,786.88 : x
  2. Step 2: Convert to fraction form
    4,563.51/6,842.54 = 1,786.88/x
  3. Step 3: Cross multiply
    4,563.51x = 6,842.54 × 1,786.88
  4. Step 4: Simplify right side
    4,563.51x = 12,226,797.88
  5. Step 5: Solve for x
    x = 12,226,797.88/4,563.51
  6. Step 6: Final answer
    x = 2,679.25

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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.