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Finding the Fourth Proportional to 4,775.85, 7,158.92 and 4,422.29

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Solution

The fourth proportional to 4,775.85, 7,158.92 and 4,422.29 is: 6,628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.85 : 7,158.92 = 4,422.29 : x
  2. Step 2: Convert to fraction form
    4,775.85/7,158.92 = 4,422.29/x
  3. Step 3: Cross multiply
    4,775.85x = 7,158.92 × 4,422.29
  4. Step 4: Simplify right side
    4,775.85x = 31,658,814.14
  5. Step 5: Solve for x
    x = 31,658,814.14/4,775.85
  6. Step 6: Final answer
    x = 6,628.93

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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.