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Finding the Fourth Proportional to 6,208.64, 9,314.44 and 1,826.24

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Solution

The fourth proportional to 6,208.64, 9,314.44 and 1,826.24 is: 2,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.64 : 9,314.44 = 1,826.24 : x
  2. Step 2: Convert to fraction form
    6,208.64/9,314.44 = 1,826.24/x
  3. Step 3: Cross multiply
    6,208.64x = 9,314.44 × 1,826.24
  4. Step 4: Simplify right side
    6,208.64x = 17,010,402.91
  5. Step 5: Solve for x
    x = 17,010,402.91/6,208.64
  6. Step 6: Final answer
    x = 2,739.80

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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.