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Finding the Fourth Proportional to 13,876.42, 19,149.42 and 7,502.98

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Solution

The fourth proportional to 13,876.42, 19,149.42 and 7,502.98 is: 10,354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.42 : 19,149.42 = 7,502.98 : x
  2. Step 2: Convert to fraction form
    13,876.42/19,149.42 = 7,502.98/x
  3. Step 3: Cross multiply
    13,876.42x = 19,149.42 × 7,502.98
  4. Step 4: Simplify right side
    13,876.42x = 143,677,715.27
  5. Step 5: Solve for x
    x = 143,677,715.27/13,876.42
  6. Step 6: Final answer
    x = 10,354.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.