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Finding the Fourth Proportional to 9,983.70, 13,777.20 and 5,507.28

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Solution

The fourth proportional to 9,983.70, 13,777.20 and 5,507.28 is: 7,599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.70 : 13,777.20 = 5,507.28 : x
  2. Step 2: Convert to fraction form
    9,983.70/13,777.20 = 5,507.28/x
  3. Step 3: Cross multiply
    9,983.70x = 13,777.20 × 5,507.28
  4. Step 4: Simplify right side
    9,983.70x = 75,874,898.02
  5. Step 5: Solve for x
    x = 75,874,898.02/9,983.70
  6. Step 6: Final answer
    x = 7,599.88

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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.