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Finding the Fourth Proportional to 7,576, 10,456.91 and 4,591.96

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Solution

The fourth proportional to 7,576, 10,456.91 and 4,591.96 is: 6,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576 : 10,456.91 = 4,591.96 : x
  2. Step 2: Convert to fraction form
    7,576/10,456.91 = 4,591.96/x
  3. Step 3: Cross multiply
    7,576x = 10,456.91 × 4,591.96
  4. Step 4: Simplify right side
    7,576x = 48,017,712.44
  5. Step 5: Solve for x
    x = 48,017,712.44/7,576
  6. Step 6: Final answer
    x = 6,338.14

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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.