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Finding the Fourth Proportional to 6,374.37, 8,800.86 and 4,697.67

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Solution

The fourth proportional to 6,374.37, 8,800.86 and 4,697.67 is: 6,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.37 : 8,800.86 = 4,697.67 : x
  2. Step 2: Convert to fraction form
    6,374.37/8,800.86 = 4,697.67/x
  3. Step 3: Cross multiply
    6,374.37x = 8,800.86 × 4,697.67
  4. Step 4: Simplify right side
    6,374.37x = 41,343,536.00
  5. Step 5: Solve for x
    x = 41,343,536.00/6,374.37
  6. Step 6: Final answer
    x = 6,485.90

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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.