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Finding the Fourth Proportional to 6,294.02, 8,686.22 and 3,776.24

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Solution

The fourth proportional to 6,294.02, 8,686.22 and 3,776.24 is: 5,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.02 : 8,686.22 = 3,776.24 : x
  2. Step 2: Convert to fraction form
    6,294.02/8,686.22 = 3,776.24/x
  3. Step 3: Cross multiply
    6,294.02x = 8,686.22 × 3,776.24
  4. Step 4: Simplify right side
    6,294.02x = 32,801,251.41
  5. Step 5: Solve for x
    x = 32,801,251.41/6,294.02
  6. Step 6: Final answer
    x = 5,211.49

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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.