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Finding the Fourth Proportional to 6,846.57, 9,454.01 and 4,615.83

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Solution

The fourth proportional to 6,846.57, 9,454.01 and 4,615.83 is: 6,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.57 : 9,454.01 = 4,615.83 : x
  2. Step 2: Convert to fraction form
    6,846.57/9,454.01 = 4,615.83/x
  3. Step 3: Cross multiply
    6,846.57x = 9,454.01 × 4,615.83
  4. Step 4: Simplify right side
    6,846.57x = 43,638,079.90
  5. Step 5: Solve for x
    x = 43,638,079.90/6,846.57
  6. Step 6: Final answer
    x = 6,373.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.