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Finding the Fourth Proportional to 6,112, 9,168.08 and 1,495

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Solution

The fourth proportional to 6,112, 9,168.08 and 1,495 is: 2,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112 : 9,168.08 = 1,495 : x
  2. Step 2: Convert to fraction form
    6,112/9,168.08 = 1,495/x
  3. Step 3: Cross multiply
    6,112x = 9,168.08 × 1,495
  4. Step 4: Simplify right side
    6,112x = 13,706,279.60
  5. Step 5: Solve for x
    x = 13,706,279.60/6,112
  6. Step 6: Final answer
    x = 2,242.52

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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.