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Finding the Fourth Proportional to 12,682.70, 19,026.00 and 9,199.02

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Solution

The fourth proportional to 12,682.70, 19,026.00 and 9,199.02 is: 13,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.70 : 19,026.00 = 9,199.02 : x
  2. Step 2: Convert to fraction form
    12,682.70/19,026.00 = 9,199.02/x
  3. Step 3: Cross multiply
    12,682.70x = 19,026.00 × 9,199.02
  4. Step 4: Simplify right side
    12,682.70x = 175,020,493.66
  5. Step 5: Solve for x
    x = 175,020,493.66/12,682.70
  6. Step 6: Final answer
    x = 13,799.93

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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.