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Finding the Fourth Proportional to 6,807.70, 10,209.15 and 2,425.30

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Solution

The fourth proportional to 6,807.70, 10,209.15 and 2,425.30 is: 3,637.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.70 : 10,209.15 = 2,425.30 : x
  2. Step 2: Convert to fraction form
    6,807.70/10,209.15 = 2,425.30/x
  3. Step 3: Cross multiply
    6,807.70x = 10,209.15 × 2,425.30
  4. Step 4: Simplify right side
    6,807.70x = 24,760,251.50
  5. Step 5: Solve for x
    x = 24,760,251.50/6,807.70
  6. Step 6: Final answer
    x = 3,637.09

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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.