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Finding the Fourth Proportional to 8,152.94, 12,223.43 and 2,603.09

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Solution

The fourth proportional to 8,152.94, 12,223.43 and 2,603.09 is: 3,902.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.94 : 12,223.43 = 2,603.09 : x
  2. Step 2: Convert to fraction form
    8,152.94/12,223.43 = 2,603.09/x
  3. Step 3: Cross multiply
    8,152.94x = 12,223.43 × 2,603.09
  4. Step 4: Simplify right side
    8,152.94x = 31,818,675.38
  5. Step 5: Solve for x
    x = 31,818,675.38/8,152.94
  6. Step 6: Final answer
    x = 3,902.72

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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.