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Finding the Fourth Proportional to 11,640.02, 17,460.06 and 6,094.98

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Solution

The fourth proportional to 11,640.02, 17,460.06 and 6,094.98 is: 9,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.02 : 17,460.06 = 6,094.98 : x
  2. Step 2: Convert to fraction form
    11,640.02/17,460.06 = 6,094.98/x
  3. Step 3: Cross multiply
    11,640.02x = 17,460.06 × 6,094.98
  4. Step 4: Simplify right side
    11,640.02x = 106,418,716.50
  5. Step 5: Solve for x
    x = 106,418,716.50/11,640.02
  6. Step 6: Final answer
    x = 9,142.49

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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.