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Finding the Fourth Proportional to 4,765.33, 7,148.22 and 1,478.47

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Solution

The fourth proportional to 4,765.33, 7,148.22 and 1,478.47 is: 2,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.33 : 7,148.22 = 1,478.47 : x
  2. Step 2: Convert to fraction form
    4,765.33/7,148.22 = 1,478.47/x
  3. Step 3: Cross multiply
    4,765.33x = 7,148.22 × 1,478.47
  4. Step 4: Simplify right side
    4,765.33x = 10,568,428.82
  5. Step 5: Solve for x
    x = 10,568,428.82/4,765.33
  6. Step 6: Final answer
    x = 2,217.77

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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.