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Finding the Fourth Proportional to 4,906.55, 7,360.64 and 1,786.71

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Solution

The fourth proportional to 4,906.55, 7,360.64 and 1,786.71 is: 2,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.55 : 7,360.64 = 1,786.71 : x
  2. Step 2: Convert to fraction form
    4,906.55/7,360.64 = 1,786.71/x
  3. Step 3: Cross multiply
    4,906.55x = 7,360.64 × 1,786.71
  4. Step 4: Simplify right side
    4,906.55x = 13,151,320.16
  5. Step 5: Solve for x
    x = 13,151,320.16/4,906.55
  6. Step 6: Final answer
    x = 2,680.36

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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.