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Finding the Fourth Proportional to 6,937.80, 10,406.70 and 4,014.60

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Solution

The fourth proportional to 6,937.80, 10,406.70 and 4,014.60 is: 6,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.80 : 10,406.70 = 4,014.60 : x
  2. Step 2: Convert to fraction form
    6,937.80/10,406.70 = 4,014.60/x
  3. Step 3: Cross multiply
    6,937.80x = 10,406.70 × 4,014.60
  4. Step 4: Simplify right side
    6,937.80x = 41,778,737.82
  5. Step 5: Solve for x
    x = 41,778,737.82/6,937.80
  6. Step 6: Final answer
    x = 6,021.90

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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.