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Finding the Fourth Proportional to 12,902.94, 19,351.98 and 5,005.44

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Solution

The fourth proportional to 12,902.94, 19,351.98 and 5,005.44 is: 7,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.94 : 19,351.98 = 5,005.44 : x
  2. Step 2: Convert to fraction form
    12,902.94/19,351.98 = 5,005.44/x
  3. Step 3: Cross multiply
    12,902.94x = 19,351.98 × 5,005.44
  4. Step 4: Simplify right side
    12,902.94x = 96,865,174.77
  5. Step 5: Solve for x
    x = 96,865,174.77/12,902.94
  6. Step 6: Final answer
    x = 7,507.22

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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.