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Finding the Fourth Proportional to 8,029.48, 12,041.74 and 2,834.14

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Solution

The fourth proportional to 8,029.48, 12,041.74 and 2,834.14 is: 4,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.48 : 12,041.74 = 2,834.14 : x
  2. Step 2: Convert to fraction form
    8,029.48/12,041.74 = 2,834.14/x
  3. Step 3: Cross multiply
    8,029.48x = 12,041.74 × 2,834.14
  4. Step 4: Simplify right side
    8,029.48x = 34,127,977.00
  5. Step 5: Solve for x
    x = 34,127,977.00/8,029.48
  6. Step 6: Final answer
    x = 4,250.33

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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.