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Finding the Fourth Proportional to 6,967.70, 10,455.12 and 4,629.31

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Solution

The fourth proportional to 6,967.70, 10,455.12 and 4,629.31 is: 6,946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.70 : 10,455.12 = 4,629.31 : x
  2. Step 2: Convert to fraction form
    6,967.70/10,455.12 = 4,629.31/x
  3. Step 3: Cross multiply
    6,967.70x = 10,455.12 × 4,629.31
  4. Step 4: Simplify right side
    6,967.70x = 48,399,965.43
  5. Step 5: Solve for x
    x = 48,399,965.43/6,967.70
  6. Step 6: Final answer
    x = 6,946.34

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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.