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Finding the Fourth Proportional to 4,764.78, 7,149.96 and 1,842.93

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Solution

The fourth proportional to 4,764.78, 7,149.96 and 1,842.93 is: 2,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.78 : 7,149.96 = 1,842.93 : x
  2. Step 2: Convert to fraction form
    4,764.78/7,149.96 = 1,842.93/x
  3. Step 3: Cross multiply
    4,764.78x = 7,149.96 × 1,842.93
  4. Step 4: Simplify right side
    4,764.78x = 13,176,875.78
  5. Step 5: Solve for x
    x = 13,176,875.78/4,764.78
  6. Step 6: Final answer
    x = 2,765.47

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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.