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Finding the Fourth Proportional to 6,513.64, 9,771.90 and 1,897

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Solution

The fourth proportional to 6,513.64, 9,771.90 and 1,897 is: 2,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.64 : 9,771.90 = 1,897 : x
  2. Step 2: Convert to fraction form
    6,513.64/9,771.90 = 1,897/x
  3. Step 3: Cross multiply
    6,513.64x = 9,771.90 × 1,897
  4. Step 4: Simplify right side
    6,513.64x = 18,537,294.30
  5. Step 5: Solve for x
    x = 18,537,294.30/6,513.64
  6. Step 6: Final answer
    x = 2,845.92

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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.