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Finding the Fourth Proportional to 6,596.69, 9,894.98 and 1,666.30

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Solution

The fourth proportional to 6,596.69, 9,894.98 and 1,666.30 is: 2,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.69 : 9,894.98 = 1,666.30 : x
  2. Step 2: Convert to fraction form
    6,596.69/9,894.98 = 1,666.30/x
  3. Step 3: Cross multiply
    6,596.69x = 9,894.98 × 1,666.30
  4. Step 4: Simplify right side
    6,596.69x = 16,488,005.17
  5. Step 5: Solve for x
    x = 16,488,005.17/6,596.69
  6. Step 6: Final answer
    x = 2,499.44

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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.