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Finding the Fourth Proportional to 8,149.75, 12,224.50 and 2,603.00

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Solution

The fourth proportional to 8,149.75, 12,224.50 and 2,603.00 is: 3,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.75 : 12,224.50 = 2,603.00 : x
  2. Step 2: Convert to fraction form
    8,149.75/12,224.50 = 2,603.00/x
  3. Step 3: Cross multiply
    8,149.75x = 12,224.50 × 2,603.00
  4. Step 4: Simplify right side
    8,149.75x = 31,820,397.55
  5. Step 5: Solve for x
    x = 31,820,397.55/8,149.75
  6. Step 6: Final answer
    x = 3,904.46

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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.