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Finding the Fourth Proportional to 14,194.70, 19,584.74 and 9,159.13

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Solution

The fourth proportional to 14,194.70, 19,584.74 and 9,159.13 is: 12,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.70 : 19,584.74 = 9,159.13 : x
  2. Step 2: Convert to fraction form
    14,194.70/19,584.74 = 9,159.13/x
  3. Step 3: Cross multiply
    14,194.70x = 19,584.74 × 9,159.13
  4. Step 4: Simplify right side
    14,194.70x = 179,379,153.61
  5. Step 5: Solve for x
    x = 179,379,153.61/14,194.70
  6. Step 6: Final answer
    x = 12,637.06

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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.