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Finding the Fourth Proportional to 14,044.92, 19,381.90 and 7,757.28

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Solution

The fourth proportional to 14,044.92, 19,381.90 and 7,757.28 is: 10,705.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044.92 : 19,381.90 = 7,757.28 : x
  2. Step 2: Convert to fraction form
    14,044.92/19,381.90 = 7,757.28/x
  3. Step 3: Cross multiply
    14,044.92x = 19,381.90 × 7,757.28
  4. Step 4: Simplify right side
    14,044.92x = 150,350,825.23
  5. Step 5: Solve for x
    x = 150,350,825.23/14,044.92
  6. Step 6: Final answer
    x = 10,705.00

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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.