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Finding the Fourth Proportional to 6,700.09, 10,039.05 and 2,315.11

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Solution

The fourth proportional to 6,700.09, 10,039.05 and 2,315.11 is: 3,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.09 : 10,039.05 = 2,315.11 : x
  2. Step 2: Convert to fraction form
    6,700.09/10,039.05 = 2,315.11/x
  3. Step 3: Cross multiply
    6,700.09x = 10,039.05 × 2,315.11
  4. Step 4: Simplify right side
    6,700.09x = 23,241,505.05
  5. Step 5: Solve for x
    x = 23,241,505.05/6,700.09
  6. Step 6: Final answer
    x = 3,468.83

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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.