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Finding the Fourth Proportional to 16,422.54, 22,659.75 and 9,347.10

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Solution

The fourth proportional to 16,422.54, 22,659.75 and 9,347.10 is: 12,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.54 : 22,659.75 = 9,347.10 : x
  2. Step 2: Convert to fraction form
    16,422.54/22,659.75 = 9,347.10/x
  3. Step 3: Cross multiply
    16,422.54x = 22,659.75 × 9,347.10
  4. Step 4: Simplify right side
    16,422.54x = 211,802,949.23
  5. Step 5: Solve for x
    x = 211,802,949.23/16,422.54
  6. Step 6: Final answer
    x = 12,897.09

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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.