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Finding the Fourth Proportional to 11,800.98, 17,702.28 and 4,008.78

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Solution

The fourth proportional to 11,800.98, 17,702.28 and 4,008.78 is: 6,013.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.98 : 17,702.28 = 4,008.78 : x
  2. Step 2: Convert to fraction form
    11,800.98/17,702.28 = 4,008.78/x
  3. Step 3: Cross multiply
    11,800.98x = 17,702.28 × 4,008.78
  4. Step 4: Simplify right side
    11,800.98x = 70,964,546.02
  5. Step 5: Solve for x
    x = 70,964,546.02/11,800.98
  6. Step 6: Final answer
    x = 6,013.45

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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.