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Finding the Fourth Proportional to 5,746.61, 8,622.05 and 2,462.27

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Solution

The fourth proportional to 5,746.61, 8,622.05 and 2,462.27 is: 3,694.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.61 : 8,622.05 = 2,462.27 : x
  2. Step 2: Convert to fraction form
    5,746.61/8,622.05 = 2,462.27/x
  3. Step 3: Cross multiply
    5,746.61x = 8,622.05 × 2,462.27
  4. Step 4: Simplify right side
    5,746.61x = 21,229,759.63
  5. Step 5: Solve for x
    x = 21,229,759.63/5,746.61
  6. Step 6: Final answer
    x = 3,694.31

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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.