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Finding the Fourth Proportional to 14,657.24, 21,943.02 and 9,093.80

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Solution

The fourth proportional to 14,657.24, 21,943.02 and 9,093.80 is: 13,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.24 : 21,943.02 = 9,093.80 : x
  2. Step 2: Convert to fraction form
    14,657.24/21,943.02 = 9,093.80/x
  3. Step 3: Cross multiply
    14,657.24x = 21,943.02 × 9,093.80
  4. Step 4: Simplify right side
    14,657.24x = 199,545,435.28
  5. Step 5: Solve for x
    x = 199,545,435.28/14,657.24
  6. Step 6: Final answer
    x = 13,614.12

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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.