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Finding the Fourth Proportional to 6,627.84, 9,146.11 and 3,643.48

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Solution

The fourth proportional to 6,627.84, 9,146.11 and 3,643.48 is: 5,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.84 : 9,146.11 = 3,643.48 : x
  2. Step 2: Convert to fraction form
    6,627.84/9,146.11 = 3,643.48/x
  3. Step 3: Cross multiply
    6,627.84x = 9,146.11 × 3,643.48
  4. Step 4: Simplify right side
    6,627.84x = 33,323,668.86
  5. Step 5: Solve for x
    x = 33,323,668.86/6,627.84
  6. Step 6: Final answer
    x = 5,027.83

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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.