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Finding the Fourth Proportional to 11,829.30, 17,752.05 and 6,564.30

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Solution

The fourth proportional to 11,829.30, 17,752.05 and 6,564.30 is: 9,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.30 : 17,752.05 = 6,564.30 : x
  2. Step 2: Convert to fraction form
    11,829.30/17,752.05 = 6,564.30/x
  3. Step 3: Cross multiply
    11,829.30x = 17,752.05 × 6,564.30
  4. Step 4: Simplify right side
    11,829.30x = 116,529,781.82
  5. Step 5: Solve for x
    x = 116,529,781.82/11,829.30
  6. Step 6: Final answer
    x = 9,850.94

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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.