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Finding the Fourth Proportional to 4,473.87, 6,711.14 and 1,186.89

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Solution

The fourth proportional to 4,473.87, 6,711.14 and 1,186.89 is: 1,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.87 : 6,711.14 = 1,186.89 : x
  2. Step 2: Convert to fraction form
    4,473.87/6,711.14 = 1,186.89/x
  3. Step 3: Cross multiply
    4,473.87x = 6,711.14 × 1,186.89
  4. Step 4: Simplify right side
    4,473.87x = 7,965,379.02
  5. Step 5: Solve for x
    x = 7,965,379.02/4,473.87
  6. Step 6: Final answer
    x = 1,780.42

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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.