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Finding the Fourth Proportional to 16,275.30, 22,459.05 and 9,201.30

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Solution

The fourth proportional to 16,275.30, 22,459.05 and 9,201.30 is: 12,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.30 : 22,459.05 = 9,201.30 : x
  2. Step 2: Convert to fraction form
    16,275.30/22,459.05 = 9,201.30/x
  3. Step 3: Cross multiply
    16,275.30x = 22,459.05 × 9,201.30
  4. Step 4: Simplify right side
    16,275.30x = 206,652,456.77
  5. Step 5: Solve for x
    x = 206,652,456.77/16,275.30
  6. Step 6: Final answer
    x = 12,697.31

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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.