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Finding the Fourth Proportional to 6,394.86, 8,825.00 and 3,562.16

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Solution

The fourth proportional to 6,394.86, 8,825.00 and 3,562.16 is: 4,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.86 : 8,825.00 = 3,562.16 : x
  2. Step 2: Convert to fraction form
    6,394.86/8,825.00 = 3,562.16/x
  3. Step 3: Cross multiply
    6,394.86x = 8,825.00 × 3,562.16
  4. Step 4: Simplify right side
    6,394.86x = 31,436,000.06
  5. Step 5: Solve for x
    x = 31,436,000.06/6,394.86
  6. Step 6: Final answer
    x = 4,915.82

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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.