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Finding the Fourth Proportional to 16,922.70, 25,347.60 and 9,122.40

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Solution

The fourth proportional to 16,922.70, 25,347.60 and 9,122.40 is: 13,663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,922.70 : 25,347.60 = 9,122.40 : x
  2. Step 2: Convert to fraction form
    16,922.70/25,347.60 = 9,122.40/x
  3. Step 3: Cross multiply
    16,922.70x = 25,347.60 × 9,122.40
  4. Step 4: Simplify right side
    16,922.70x = 231,230,946.24
  5. Step 5: Solve for x
    x = 231,230,946.24/16,922.70
  6. Step 6: Final answer
    x = 13,663.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.