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Finding the Fourth Proportional to 6,590.66, 9,885.63 and 1,660.29

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Solution

The fourth proportional to 6,590.66, 9,885.63 and 1,660.29 is: 2,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.66 : 9,885.63 = 1,660.29 : x
  2. Step 2: Convert to fraction form
    6,590.66/9,885.63 = 1,660.29/x
  3. Step 3: Cross multiply
    6,590.66x = 9,885.63 × 1,660.29
  4. Step 4: Simplify right side
    6,590.66x = 16,413,012.63
  5. Step 5: Solve for x
    x = 16,413,012.63/6,590.66
  6. Step 6: Final answer
    x = 2,490.34

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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.