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Finding the Fourth Proportional to 12,663.50, 18,947.06 and 7,647.41

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Solution

The fourth proportional to 12,663.50, 18,947.06 and 7,647.41 is: 11,442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.50 : 18,947.06 = 7,647.41 : x
  2. Step 2: Convert to fraction form
    12,663.50/18,947.06 = 7,647.41/x
  3. Step 3: Cross multiply
    12,663.50x = 18,947.06 × 7,647.41
  4. Step 4: Simplify right side
    12,663.50x = 144,895,936.11
  5. Step 5: Solve for x
    x = 144,895,936.11/12,663.50
  6. Step 6: Final answer
    x = 11,442.01

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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.