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Finding the Fourth Proportional to 16,395.54, 22,624 and 9,224.07

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Solution

The fourth proportional to 16,395.54, 22,624 and 9,224.07 is: 12,728.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,395.54 : 22,624 = 9,224.07 : x
  2. Step 2: Convert to fraction form
    16,395.54/22,624 = 9,224.07/x
  3. Step 3: Cross multiply
    16,395.54x = 22,624 × 9,224.07
  4. Step 4: Simplify right side
    16,395.54x = 208,685,359.68
  5. Step 5: Solve for x
    x = 208,685,359.68/16,395.54
  6. Step 6: Final answer
    x = 12,728.18

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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.