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Finding the Fourth Proportional to 11,699.84, 17,553.02 and 6,509.36

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Solution

The fourth proportional to 11,699.84, 17,553.02 and 6,509.36 is: 9,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.84 : 17,553.02 = 6,509.36 : x
  2. Step 2: Convert to fraction form
    11,699.84/17,553.02 = 6,509.36/x
  3. Step 3: Cross multiply
    11,699.84x = 17,553.02 × 6,509.36
  4. Step 4: Simplify right side
    11,699.84x = 114,258,926.27
  5. Step 5: Solve for x
    x = 114,258,926.27/11,699.84
  6. Step 6: Final answer
    x = 9,765.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.