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Finding the Fourth Proportional to 7,647.60, 11,463.20 and 3,948.84

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Solution

The fourth proportional to 7,647.60, 11,463.20 and 3,948.84 is: 5,919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.60 : 11,463.20 = 3,948.84 : x
  2. Step 2: Convert to fraction form
    7,647.60/11,463.20 = 3,948.84/x
  3. Step 3: Cross multiply
    7,647.60x = 11,463.20 × 3,948.84
  4. Step 4: Simplify right side
    7,647.60x = 45,266,342.69
  5. Step 5: Solve for x
    x = 45,266,342.69/7,647.60
  6. Step 6: Final answer
    x = 5,919.03

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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.