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Finding the Fourth Proportional to 4,113.70, 5,770.70 and 4,113.70

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Solution

The fourth proportional to 4,113.70, 5,770.70 and 4,113.70 is: 5,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.70 : 5,770.70 = 4,113.70 : x
  2. Step 2: Convert to fraction form
    4,113.70/5,770.70 = 4,113.70/x
  3. Step 3: Cross multiply
    4,113.70x = 5,770.70 × 4,113.70
  4. Step 4: Simplify right side
    4,113.70x = 23,738,928.59
  5. Step 5: Solve for x
    x = 23,738,928.59/4,113.70
  6. Step 6: Final answer
    x = 5,770.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.