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Finding the Fourth Proportional to 4,933.74, 7,402.64 and 4,005.62

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Solution

The fourth proportional to 4,933.74, 7,402.64 and 4,005.62 is: 6,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.74 : 7,402.64 = 4,005.62 : x
  2. Step 2: Convert to fraction form
    4,933.74/7,402.64 = 4,005.62/x
  3. Step 3: Cross multiply
    4,933.74x = 7,402.64 × 4,005.62
  4. Step 4: Simplify right side
    4,933.74x = 29,652,105.80
  5. Step 5: Solve for x
    x = 29,652,105.80/4,933.74
  6. Step 6: Final answer
    x = 6,010.07

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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.