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Finding the Fourth Proportional to 4,769.69, 7,152.10 and 3,209.63

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Solution

The fourth proportional to 4,769.69, 7,152.10 and 3,209.63 is: 4,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.69 : 7,152.10 = 3,209.63 : x
  2. Step 2: Convert to fraction form
    4,769.69/7,152.10 = 3,209.63/x
  3. Step 3: Cross multiply
    4,769.69x = 7,152.10 × 3,209.63
  4. Step 4: Simplify right side
    4,769.69x = 22,955,550.94
  5. Step 5: Solve for x
    x = 22,955,550.94/4,769.69
  6. Step 6: Final answer
    x = 4,812.80

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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.