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Finding the Fourth Proportional to 6,110, 9,165.06 and 1,493

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Solution

The fourth proportional to 6,110, 9,165.06 and 1,493 is: 2,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,110 : 9,165.06 = 1,493 : x
  2. Step 2: Convert to fraction form
    6,110/9,165.06 = 1,493/x
  3. Step 3: Cross multiply
    6,110x = 9,165.06 × 1,493
  4. Step 4: Simplify right side
    6,110x = 13,683,434.58
  5. Step 5: Solve for x
    x = 13,683,434.58/6,110
  6. Step 6: Final answer
    x = 2,239.51

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Double scale
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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.