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Finding the Fourth Proportional to 8,548.36, 12,822.54 and 5,343.64

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Solution

The fourth proportional to 8,548.36, 12,822.54 and 5,343.64 is: 8,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.36 : 12,822.54 = 5,343.64 : x
  2. Step 2: Convert to fraction form
    8,548.36/12,822.54 = 5,343.64/x
  3. Step 3: Cross multiply
    8,548.36x = 12,822.54 × 5,343.64
  4. Step 4: Simplify right side
    8,548.36x = 68,519,037.65
  5. Step 5: Solve for x
    x = 68,519,037.65/8,548.36
  6. Step 6: Final answer
    x = 8,015.46

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1.5x scale

Why These Related Problems?

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