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Finding the Fourth Proportional to 4,608.83, 6,914.64 and 1,646.89

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Solution

The fourth proportional to 4,608.83, 6,914.64 and 1,646.89 is: 2,470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.83 : 6,914.64 = 1,646.89 : x
  2. Step 2: Convert to fraction form
    4,608.83/6,914.64 = 1,646.89/x
  3. Step 3: Cross multiply
    4,608.83x = 6,914.64 × 1,646.89
  4. Step 4: Simplify right side
    4,608.83x = 11,387,616.90
  5. Step 5: Solve for x
    x = 11,387,616.90/4,608.83
  6. Step 6: Final answer
    x = 2,470.83

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1.5x scale

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.