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Finding the Fourth Proportional to 7,858.05, 11,769.66 and 4,562.97

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Solution

The fourth proportional to 7,858.05, 11,769.66 and 4,562.97 is: 6,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.05 : 11,769.66 = 4,562.97 : x
  2. Step 2: Convert to fraction form
    7,858.05/11,769.66 = 4,562.97/x
  3. Step 3: Cross multiply
    7,858.05x = 11,769.66 × 4,562.97
  4. Step 4: Simplify right side
    7,858.05x = 53,704,605.49
  5. Step 5: Solve for x
    x = 53,704,605.49/7,858.05
  6. Step 6: Final answer
    x = 6,834.34

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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.