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Finding the Fourth Proportional to 10,927.26, 16,379.82 and 9,615.06

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Solution

The fourth proportional to 10,927.26, 16,379.82 and 9,615.06 is: 14,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927.26 : 16,379.82 = 9,615.06 : x
  2. Step 2: Convert to fraction form
    10,927.26/16,379.82 = 9,615.06/x
  3. Step 3: Cross multiply
    10,927.26x = 16,379.82 × 9,615.06
  4. Step 4: Simplify right side
    10,927.26x = 157,492,952.09
  5. Step 5: Solve for x
    x = 157,492,952.09/10,927.26
  6. Step 6: Final answer
    x = 14,412.85

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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.