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Finding the Fourth Proportional to 4,769.82, 7,154.73 and 2,713.50

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Solution

The fourth proportional to 4,769.82, 7,154.73 and 2,713.50 is: 4,070.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.82 : 7,154.73 = 2,713.50 : x
  2. Step 2: Convert to fraction form
    4,769.82/7,154.73 = 2,713.50/x
  3. Step 3: Cross multiply
    4,769.82x = 7,154.73 × 2,713.50
  4. Step 4: Simplify right side
    4,769.82x = 19,414,359.86
  5. Step 5: Solve for x
    x = 19,414,359.86/4,769.82
  6. Step 6: Final answer
    x = 4,070.25

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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.