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Finding the Fourth Proportional to 16,542.64, 22,828.86 and 9,090.64

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Solution

The fourth proportional to 16,542.64, 22,828.86 and 9,090.64 is: 12,545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.64 : 22,828.86 = 9,090.64 : x
  2. Step 2: Convert to fraction form
    16,542.64/22,828.86 = 9,090.64/x
  3. Step 3: Cross multiply
    16,542.64x = 22,828.86 × 9,090.64
  4. Step 4: Simplify right side
    16,542.64x = 207,528,947.87
  5. Step 5: Solve for x
    x = 207,528,947.87/16,542.64
  6. Step 6: Final answer
    x = 12,545.09

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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.