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Finding the Fourth Proportional to 6,597.16, 9,895.80 and 1,666.80

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Solution

The fourth proportional to 6,597.16, 9,895.80 and 1,666.80 is: 2,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.16 : 9,895.80 = 1,666.80 : x
  2. Step 2: Convert to fraction form
    6,597.16/9,895.80 = 1,666.80/x
  3. Step 3: Cross multiply
    6,597.16x = 9,895.80 × 1,666.80
  4. Step 4: Simplify right side
    6,597.16x = 16,494,362.80
  5. Step 5: Solve for x
    x = 16,494,362.80/6,597.16
  6. Step 6: Final answer
    x = 2,500.22

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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.