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Finding the Fourth Proportional to 5,202.70, 7,814.94 and 4,422.58

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Solution

The fourth proportional to 5,202.70, 7,814.94 and 4,422.58 is: 6,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.70 : 7,814.94 = 4,422.58 : x
  2. Step 2: Convert to fraction form
    5,202.70/7,814.94 = 4,422.58/x
  3. Step 3: Cross multiply
    5,202.70x = 7,814.94 × 4,422.58
  4. Step 4: Simplify right side
    5,202.70x = 34,562,197.35
  5. Step 5: Solve for x
    x = 34,562,197.35/5,202.70
  6. Step 6: Final answer
    x = 6,643.13

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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.