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Finding the Fourth Proportional to 11,897.66, 17,848.02 and 3,996.77

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Solution

The fourth proportional to 11,897.66, 17,848.02 and 3,996.77 is: 5,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.66 : 17,848.02 = 3,996.77 : x
  2. Step 2: Convert to fraction form
    11,897.66/17,848.02 = 3,996.77/x
  3. Step 3: Cross multiply
    11,897.66x = 17,848.02 × 3,996.77
  4. Step 4: Simplify right side
    11,897.66x = 71,334,395.60
  5. Step 5: Solve for x
    x = 71,334,395.60/11,897.66
  6. Step 6: Final answer
    x = 5,995.67

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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.