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Finding the Fourth Proportional to 8,382.84, 11,576.10 and 5,405.64

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Solution

The fourth proportional to 8,382.84, 11,576.10 and 5,405.64 is: 7,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.84 : 11,576.10 = 5,405.64 : x
  2. Step 2: Convert to fraction form
    8,382.84/11,576.10 = 5,405.64/x
  3. Step 3: Cross multiply
    8,382.84x = 11,576.10 × 5,405.64
  4. Step 4: Simplify right side
    8,382.84x = 62,576,229.20
  5. Step 5: Solve for x
    x = 62,576,229.20/8,382.84
  6. Step 6: Final answer
    x = 7,464.80

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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.