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Finding the Fourth Proportional to 8,516.37, 12,774.65 and 4,013.13

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Solution

The fourth proportional to 8,516.37, 12,774.65 and 4,013.13 is: 6,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.37 : 12,774.65 = 4,013.13 : x
  2. Step 2: Convert to fraction form
    8,516.37/12,774.65 = 4,013.13/x
  3. Step 3: Cross multiply
    8,516.37x = 12,774.65 × 4,013.13
  4. Step 4: Simplify right side
    8,516.37x = 51,266,311.09
  5. Step 5: Solve for x
    x = 51,266,311.09/8,516.37
  6. Step 6: Final answer
    x = 6,019.74

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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.