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Finding the Fourth Proportional to 4,913.84, 7,370.80 and 2,451.68

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Solution

The fourth proportional to 4,913.84, 7,370.80 and 2,451.68 is: 3,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.84 : 7,370.80 = 2,451.68 : x
  2. Step 2: Convert to fraction form
    4,913.84/7,370.80 = 2,451.68/x
  3. Step 3: Cross multiply
    4,913.84x = 7,370.80 × 2,451.68
  4. Step 4: Simplify right side
    4,913.84x = 18,070,842.94
  5. Step 5: Solve for x
    x = 18,070,842.94/4,913.84
  6. Step 6: Final answer
    x = 3,677.54

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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.