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Finding the Fourth Proportional to 9,983.88, 13,777.02 and 5,507.64

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Solution

The fourth proportional to 9,983.88, 13,777.02 and 5,507.64 is: 7,600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.88 : 13,777.02 = 5,507.64 : x
  2. Step 2: Convert to fraction form
    9,983.88/13,777.02 = 5,507.64/x
  3. Step 3: Cross multiply
    9,983.88x = 13,777.02 × 5,507.64
  4. Step 4: Simplify right side
    9,983.88x = 75,878,866.43
  5. Step 5: Solve for x
    x = 75,878,866.43/9,983.88
  6. Step 6: Final answer
    x = 7,600.14

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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.