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Finding the Fourth Proportional to 6,934.60, 10,394.47 and 2,549.67

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Solution

The fourth proportional to 6,934.60, 10,394.47 and 2,549.67 is: 3,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.60 : 10,394.47 = 2,549.67 : x
  2. Step 2: Convert to fraction form
    6,934.60/10,394.47 = 2,549.67/x
  3. Step 3: Cross multiply
    6,934.60x = 10,394.47 × 2,549.67
  4. Step 4: Simplify right side
    6,934.60x = 26,502,468.32
  5. Step 5: Solve for x
    x = 26,502,468.32/6,934.60
  6. Step 6: Final answer
    x = 3,821.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.