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Finding the Fourth Proportional to 6,380.02, 9,570.76 and 1,700.09

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Solution

The fourth proportional to 6,380.02, 9,570.76 and 1,700.09 is: 2,550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.02 : 9,570.76 = 1,700.09 : x
  2. Step 2: Convert to fraction form
    6,380.02/9,570.76 = 1,700.09/x
  3. Step 3: Cross multiply
    6,380.02x = 9,570.76 × 1,700.09
  4. Step 4: Simplify right side
    6,380.02x = 16,271,137.15
  5. Step 5: Solve for x
    x = 16,271,137.15/6,380.02
  6. Step 6: Final answer
    x = 2,550.33

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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.