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Finding the Fourth Proportional to 13,026.50, 19,550 and 6,701.12

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Solution

The fourth proportional to 13,026.50, 19,550 and 6,701.12 is: 10,056.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.50 : 19,550 = 6,701.12 : x
  2. Step 2: Convert to fraction form
    13,026.50/19,550 = 6,701.12/x
  3. Step 3: Cross multiply
    13,026.50x = 19,550 × 6,701.12
  4. Step 4: Simplify right side
    13,026.50x = 131,006,896
  5. Step 5: Solve for x
    x = 131,006,896/13,026.50
  6. Step 6: Final answer
    x = 10,056.95

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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.