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Finding the Fourth Proportional to 9,891.91, 14,814.44 and 8,586.29

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Solution

The fourth proportional to 9,891.91, 14,814.44 and 8,586.29 is: 12,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.91 : 14,814.44 = 8,586.29 : x
  2. Step 2: Convert to fraction form
    9,891.91/14,814.44 = 8,586.29/x
  3. Step 3: Cross multiply
    9,891.91x = 14,814.44 × 8,586.29
  4. Step 4: Simplify right side
    9,891.91x = 127,201,078.03
  5. Step 5: Solve for x
    x = 127,201,078.03/9,891.91
  6. Step 6: Final answer
    x = 12,859.10

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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.