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Finding the Fourth Proportional to 8,349.94, 12,465.21 and 8,057.90

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Solution

The fourth proportional to 8,349.94, 12,465.21 and 8,057.90 is: 12,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.94 : 12,465.21 = 8,057.90 : x
  2. Step 2: Convert to fraction form
    8,349.94/12,465.21 = 8,057.90/x
  3. Step 3: Cross multiply
    8,349.94x = 12,465.21 × 8,057.90
  4. Step 4: Simplify right side
    8,349.94x = 100,443,353.33
  5. Step 5: Solve for x
    x = 100,443,353.33/8,349.94
  6. Step 6: Final answer
    x = 12,029.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.