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Finding the Fourth Proportional to 3,140.70, 4,406.70 and 3,140.70

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Solution

The fourth proportional to 3,140.70, 4,406.70 and 3,140.70 is: 4,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.70 : 4,406.70 = 3,140.70 : x
  2. Step 2: Convert to fraction form
    3,140.70/4,406.70 = 3,140.70/x
  3. Step 3: Cross multiply
    3,140.70x = 4,406.70 × 3,140.70
  4. Step 4: Simplify right side
    3,140.70x = 13,840,122.69
  5. Step 5: Solve for x
    x = 13,840,122.69/3,140.70
  6. Step 6: Final answer
    x = 4,406.70

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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.