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Finding the Fourth Proportional to 6,596.80, 9,895.20 and 6,499.60

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Solution

The fourth proportional to 6,596.80, 9,895.20 and 6,499.60 is: 9,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.80 : 9,895.20 = 6,499.60 : x
  2. Step 2: Convert to fraction form
    6,596.80/9,895.20 = 6,499.60/x
  3. Step 3: Cross multiply
    6,596.80x = 9,895.20 × 6,499.60
  4. Step 4: Simplify right side
    6,596.80x = 64,314,841.92
  5. Step 5: Solve for x
    x = 64,314,841.92/6,596.80
  6. Step 6: Final answer
    x = 9,749.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.