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Finding the Fourth Proportional to 14,122.54, 19,489.46 and 7,749.40

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Solution

The fourth proportional to 14,122.54, 19,489.46 and 7,749.40 is: 10,694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.54 : 19,489.46 = 7,749.40 : x
  2. Step 2: Convert to fraction form
    14,122.54/19,489.46 = 7,749.40/x
  3. Step 3: Cross multiply
    14,122.54x = 19,489.46 × 7,749.40
  4. Step 4: Simplify right side
    14,122.54x = 151,031,621.32
  5. Step 5: Solve for x
    x = 151,031,621.32/14,122.54
  6. Step 6: Final answer
    x = 10,694.37

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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.