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Finding the Fourth Proportional to 6,164.60, 9,248.52 and 1,781.96

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Solution

The fourth proportional to 6,164.60, 9,248.52 and 1,781.96 is: 2,673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.60 : 9,248.52 = 1,781.96 : x
  2. Step 2: Convert to fraction form
    6,164.60/9,248.52 = 1,781.96/x
  3. Step 3: Cross multiply
    6,164.60x = 9,248.52 × 1,781.96
  4. Step 4: Simplify right side
    6,164.60x = 16,480,492.70
  5. Step 5: Solve for x
    x = 16,480,492.70/6,164.60
  6. Step 6: Final answer
    x = 2,673.41

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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.