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Finding the Fourth Proportional to 5,674.26, 8,530.83 and 5,246.58

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Solution

The fourth proportional to 5,674.26, 8,530.83 and 5,246.58 is: 7,887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.26 : 8,530.83 = 5,246.58 : x
  2. Step 2: Convert to fraction form
    5,674.26/8,530.83 = 5,246.58/x
  3. Step 3: Cross multiply
    5,674.26x = 8,530.83 × 5,246.58
  4. Step 4: Simplify right side
    5,674.26x = 44,757,682.06
  5. Step 5: Solve for x
    x = 44,757,682.06/5,674.26
  6. Step 6: Final answer
    x = 7,887.84

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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.