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Finding the Fourth Proportional to 10,646.94, 14,691.58 and 6,169.77

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Solution

The fourth proportional to 10,646.94, 14,691.58 and 6,169.77 is: 8,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.94 : 14,691.58 = 6,169.77 : x
  2. Step 2: Convert to fraction form
    10,646.94/14,691.58 = 6,169.77/x
  3. Step 3: Cross multiply
    10,646.94x = 14,691.58 × 6,169.77
  4. Step 4: Simplify right side
    10,646.94x = 90,643,654.11
  5. Step 5: Solve for x
    x = 90,643,654.11/10,646.94
  6. Step 6: Final answer
    x = 8,513.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.