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Finding the Fourth Proportional to 6,880.48, 9,491.92 and 4,046.96

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Solution

The fourth proportional to 6,880.48, 9,491.92 and 4,046.96 is: 5,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.48 : 9,491.92 = 4,046.96 : x
  2. Step 2: Convert to fraction form
    6,880.48/9,491.92 = 4,046.96/x
  3. Step 3: Cross multiply
    6,880.48x = 9,491.92 × 4,046.96
  4. Step 4: Simplify right side
    6,880.48x = 38,413,420.56
  5. Step 5: Solve for x
    x = 38,413,420.56/6,880.48
  6. Step 6: Final answer
    x = 5,582.96

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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.