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Finding the Fourth Proportional to 6,349.98, 8,763.05 and 3,697.64

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Solution

The fourth proportional to 6,349.98, 8,763.05 and 3,697.64 is: 5,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.98 : 8,763.05 = 3,697.64 : x
  2. Step 2: Convert to fraction form
    6,349.98/8,763.05 = 3,697.64/x
  3. Step 3: Cross multiply
    6,349.98x = 8,763.05 × 3,697.64
  4. Step 4: Simplify right side
    6,349.98x = 32,402,604.20
  5. Step 5: Solve for x
    x = 32,402,604.20/6,349.98
  6. Step 6: Final answer
    x = 5,102.79

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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.