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Finding the Fourth Proportional to 4,869.82, 7,294.56 and 4,519.60

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Solution

The fourth proportional to 4,869.82, 7,294.56 and 4,519.60 is: 6,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.82 : 7,294.56 = 4,519.60 : x
  2. Step 2: Convert to fraction form
    4,869.82/7,294.56 = 4,519.60/x
  3. Step 3: Cross multiply
    4,869.82x = 7,294.56 × 4,519.60
  4. Step 4: Simplify right side
    4,869.82x = 32,968,458.19
  5. Step 5: Solve for x
    x = 32,968,458.19/4,869.82
  6. Step 6: Final answer
    x = 6,769.95

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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.