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Finding the Fourth Proportional to 9,619.91, 14,409.59 and 8,153.91

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Solution

The fourth proportional to 9,619.91, 14,409.59 and 8,153.91 is: 12,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.91 : 14,409.59 = 8,153.91 : x
  2. Step 2: Convert to fraction form
    9,619.91/14,409.59 = 8,153.91/x
  3. Step 3: Cross multiply
    9,619.91x = 14,409.59 × 8,153.91
  4. Step 4: Simplify right side
    9,619.91x = 117,494,459.23
  5. Step 5: Solve for x
    x = 117,494,459.23/9,619.91
  6. Step 6: Final answer
    x = 12,213.68

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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.