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Finding the Fourth Proportional to 16,180.02, 22,326 and 9,106.02

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Solution

The fourth proportional to 16,180.02, 22,326 and 9,106.02 is: 12,564.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.02 : 22,326 = 9,106.02 : x
  2. Step 2: Convert to fraction form
    16,180.02/22,326 = 9,106.02/x
  3. Step 3: Cross multiply
    16,180.02x = 22,326 × 9,106.02
  4. Step 4: Simplify right side
    16,180.02x = 203,301,002.52
  5. Step 5: Solve for x
    x = 203,301,002.52/16,180.02
  6. Step 6: Final answer
    x = 12,564.94

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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.