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Finding the Fourth Proportional to 14,194.53, 19,584.99 and 9,348.77

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Solution

The fourth proportional to 14,194.53, 19,584.99 and 9,348.77 is: 12,899.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.53 : 19,584.99 = 9,348.77 : x
  2. Step 2: Convert to fraction form
    14,194.53/19,584.99 = 9,348.77/x
  3. Step 3: Cross multiply
    14,194.53x = 19,584.99 × 9,348.77
  4. Step 4: Simplify right side
    14,194.53x = 183,095,469.04
  5. Step 5: Solve for x
    x = 183,095,469.04/14,194.53
  6. Step 6: Final answer
    x = 12,899.02

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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.