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Finding the Fourth Proportional to 6,709.06, 10,063.14 and 2,029.24

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Solution

The fourth proportional to 6,709.06, 10,063.14 and 2,029.24 is: 3,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.06 : 10,063.14 = 2,029.24 : x
  2. Step 2: Convert to fraction form
    6,709.06/10,063.14 = 2,029.24/x
  3. Step 3: Cross multiply
    6,709.06x = 10,063.14 × 2,029.24
  4. Step 4: Simplify right side
    6,709.06x = 20,420,526.21
  5. Step 5: Solve for x
    x = 20,420,526.21/6,709.06
  6. Step 6: Final answer
    x = 3,043.72

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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.