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Finding the Fourth Proportional to 6,200.64, 8,556.94 and 3,406.14

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Solution

The fourth proportional to 6,200.64, 8,556.94 and 3,406.14 is: 4,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.64 : 8,556.94 = 3,406.14 : x
  2. Step 2: Convert to fraction form
    6,200.64/8,556.94 = 3,406.14/x
  3. Step 3: Cross multiply
    6,200.64x = 8,556.94 × 3,406.14
  4. Step 4: Simplify right side
    6,200.64x = 29,146,135.61
  5. Step 5: Solve for x
    x = 29,146,135.61/6,200.64
  6. Step 6: Final answer
    x = 4,700.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.