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Finding the Fourth Proportional to 6,350.96, 8,762.34 and 3,697.87

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Solution

The fourth proportional to 6,350.96, 8,762.34 and 3,697.87 is: 5,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.96 : 8,762.34 = 3,697.87 : x
  2. Step 2: Convert to fraction form
    6,350.96/8,762.34 = 3,697.87/x
  3. Step 3: Cross multiply
    6,350.96x = 8,762.34 × 3,697.87
  4. Step 4: Simplify right side
    6,350.96x = 32,401,994.22
  5. Step 5: Solve for x
    x = 32,401,994.22/6,350.96
  6. Step 6: Final answer
    x = 5,101.90

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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.