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Finding the Fourth Proportional to 6,414.73, 8,851.50 and 3,582.25

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Solution

The fourth proportional to 6,414.73, 8,851.50 and 3,582.25 is: 4,943.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.73 : 8,851.50 = 3,582.25 : x
  2. Step 2: Convert to fraction form
    6,414.73/8,851.50 = 3,582.25/x
  3. Step 3: Cross multiply
    6,414.73x = 8,851.50 × 3,582.25
  4. Step 4: Simplify right side
    6,414.73x = 31,708,263.75
  5. Step 5: Solve for x
    x = 31,708,263.75/6,414.73
  6. Step 6: Final answer
    x = 4,943.04

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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.