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Finding the Fourth Proportional to 4,997.70, 7,496.55 and 4,074.30

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Solution

The fourth proportional to 4,997.70, 7,496.55 and 4,074.30 is: 6,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.70 : 7,496.55 = 4,074.30 : x
  2. Step 2: Convert to fraction form
    4,997.70/7,496.55 = 4,074.30/x
  3. Step 3: Cross multiply
    4,997.70x = 7,496.55 × 4,074.30
  4. Step 4: Simplify right side
    4,997.70x = 30,543,193.67
  5. Step 5: Solve for x
    x = 30,543,193.67/4,997.70
  6. Step 6: Final answer
    x = 6,111.45

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Half scale
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Similar ratio
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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.