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Finding the Fourth Proportional to 13,729.84, 18,947.24 and 7,442.20

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Solution

The fourth proportional to 13,729.84, 18,947.24 and 7,442.20 is: 10,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.84 : 18,947.24 = 7,442.20 : x
  2. Step 2: Convert to fraction form
    13,729.84/18,947.24 = 7,442.20/x
  3. Step 3: Cross multiply
    13,729.84x = 18,947.24 × 7,442.20
  4. Step 4: Simplify right side
    13,729.84x = 141,009,149.53
  5. Step 5: Solve for x
    x = 141,009,149.53/13,729.84
  6. Step 6: Final answer
    x = 10,270.27

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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.