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Finding the Fourth Proportional to 9,511.88, 14,267.88 and 2,586.38

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Solution

The fourth proportional to 9,511.88, 14,267.88 and 2,586.38 is: 3,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.88 : 14,267.88 = 2,586.38 : x
  2. Step 2: Convert to fraction form
    9,511.88/14,267.88 = 2,586.38/x
  3. Step 3: Cross multiply
    9,511.88x = 14,267.88 × 2,586.38
  4. Step 4: Simplify right side
    9,511.88x = 36,902,159.47
  5. Step 5: Solve for x
    x = 36,902,159.47/9,511.88
  6. Step 6: Final answer
    x = 3,879.59

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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.