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Finding the Fourth Proportional to 7,082.45, 9,768.62 and 4,841.99

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Solution

The fourth proportional to 7,082.45, 9,768.62 and 4,841.99 is: 6,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.45 : 9,768.62 = 4,841.99 : x
  2. Step 2: Convert to fraction form
    7,082.45/9,768.62 = 4,841.99/x
  3. Step 3: Cross multiply
    7,082.45x = 9,768.62 × 4,841.99
  4. Step 4: Simplify right side
    7,082.45x = 47,299,523.62
  5. Step 5: Solve for x
    x = 47,299,523.62/7,082.45
  6. Step 6: Final answer
    x = 6,678.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.