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Finding the Fourth Proportional to 12,922.01, 17,833.92 and 7,256.77

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Solution

The fourth proportional to 12,922.01, 17,833.92 and 7,256.77 is: 10,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.01 : 17,833.92 = 7,256.77 : x
  2. Step 2: Convert to fraction form
    12,922.01/17,833.92 = 7,256.77/x
  3. Step 3: Cross multiply
    12,922.01x = 17,833.92 × 7,256.77
  4. Step 4: Simplify right side
    12,922.01x = 129,416,724.98
  5. Step 5: Solve for x
    x = 129,416,724.98/12,922.01
  6. Step 6: Final answer
    x = 10,015.21

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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.