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Finding the Fourth Proportional to 6,941.60, 10,412.40 and 4,171.40

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Solution

The fourth proportional to 6,941.60, 10,412.40 and 4,171.40 is: 6,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.60 : 10,412.40 = 4,171.40 : x
  2. Step 2: Convert to fraction form
    6,941.60/10,412.40 = 4,171.40/x
  3. Step 3: Cross multiply
    6,941.60x = 10,412.40 × 4,171.40
  4. Step 4: Simplify right side
    6,941.60x = 43,434,285.36
  5. Step 5: Solve for x
    x = 43,434,285.36/6,941.60
  6. Step 6: Final answer
    x = 6,257.10

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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.