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Finding the Fourth Proportional to 10,361, 14,299.54 and 6,169.26

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Solution

The fourth proportional to 10,361, 14,299.54 and 6,169.26 is: 8,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361 : 14,299.54 = 6,169.26 : x
  2. Step 2: Convert to fraction form
    10,361/14,299.54 = 6,169.26/x
  3. Step 3: Cross multiply
    10,361x = 14,299.54 × 6,169.26
  4. Step 4: Simplify right side
    10,361x = 88,217,580.14
  5. Step 5: Solve for x
    x = 88,217,580.14/10,361
  6. Step 6: Final answer
    x = 8,514.39

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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.