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Finding the Fourth Proportional to 6,596.73, 9,894.26 and 1,666.08

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Solution

The fourth proportional to 6,596.73, 9,894.26 and 1,666.08 is: 2,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.73 : 9,894.26 = 1,666.08 : x
  2. Step 2: Convert to fraction form
    6,596.73/9,894.26 = 1,666.08/x
  3. Step 3: Cross multiply
    6,596.73x = 9,894.26 × 1,666.08
  4. Step 4: Simplify right side
    6,596.73x = 16,484,632.87
  5. Step 5: Solve for x
    x = 16,484,632.87/6,596.73
  6. Step 6: Final answer
    x = 2,498.91

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Why These Related Problems?

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