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Finding the Fourth Proportional to 5,627.70, 7,774.14 and 4,063.98

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Solution

The fourth proportional to 5,627.70, 7,774.14 and 4,063.98 is: 5,614.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.70 : 7,774.14 = 4,063.98 : x
  2. Step 2: Convert to fraction form
    5,627.70/7,774.14 = 4,063.98/x
  3. Step 3: Cross multiply
    5,627.70x = 7,774.14 × 4,063.98
  4. Step 4: Simplify right side
    5,627.70x = 31,593,949.48
  5. Step 5: Solve for x
    x = 31,593,949.48/5,627.70
  6. Step 6: Final answer
    x = 5,614.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.