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Finding the Fourth Proportional to 4,654.86, 6,423.13 and 2,766.48

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Solution

The fourth proportional to 4,654.86, 6,423.13 and 2,766.48 is: 3,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.86 : 6,423.13 = 2,766.48 : x
  2. Step 2: Convert to fraction form
    4,654.86/6,423.13 = 2,766.48/x
  3. Step 3: Cross multiply
    4,654.86x = 6,423.13 × 2,766.48
  4. Step 4: Simplify right side
    4,654.86x = 17,769,460.68
  5. Step 5: Solve for x
    x = 17,769,460.68/4,654.86
  6. Step 6: Final answer
    x = 3,817.40

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1.5x scale

Why These Related Problems?

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