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Finding the Fourth Proportional to 4,847.70, 7,257.15 and 4,562.90

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Solution

The fourth proportional to 4,847.70, 7,257.15 and 4,562.90 is: 6,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.70 : 7,257.15 = 4,562.90 : x
  2. Step 2: Convert to fraction form
    4,847.70/7,257.15 = 4,562.90/x
  3. Step 3: Cross multiply
    4,847.70x = 7,257.15 × 4,562.90
  4. Step 4: Simplify right side
    4,847.70x = 33,113,649.74
  5. Step 5: Solve for x
    x = 33,113,649.74/4,847.70
  6. Step 6: Final answer
    x = 6,830.80

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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.