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Finding the Fourth Proportional to 6,595.40, 9,893.10 and 1,665.42

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Solution

The fourth proportional to 6,595.40, 9,893.10 and 1,665.42 is: 2,498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.40 : 9,893.10 = 1,665.42 : x
  2. Step 2: Convert to fraction form
    6,595.40/9,893.10 = 1,665.42/x
  3. Step 3: Cross multiply
    6,595.40x = 9,893.10 × 1,665.42
  4. Step 4: Simplify right side
    6,595.40x = 16,476,166.60
  5. Step 5: Solve for x
    x = 16,476,166.60/6,595.40
  6. Step 6: Final answer
    x = 2,498.13

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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.