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Finding the Fourth Proportional to 8,041.96, 12,053.24 and 3,415.24

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Solution

The fourth proportional to 8,041.96, 12,053.24 and 3,415.24 is: 5,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.96 : 12,053.24 = 3,415.24 : x
  2. Step 2: Convert to fraction form
    8,041.96/12,053.24 = 3,415.24/x
  3. Step 3: Cross multiply
    8,041.96x = 12,053.24 × 3,415.24
  4. Step 4: Simplify right side
    8,041.96x = 41,164,707.38
  5. Step 5: Solve for x
    x = 41,164,707.38/8,041.96
  6. Step 6: Final answer
    x = 5,118.74

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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.