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Finding the Fourth Proportional to 6,013, 9,019.50 and 2,316.88

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Solution

The fourth proportional to 6,013, 9,019.50 and 2,316.88 is: 3,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013 : 9,019.50 = 2,316.88 : x
  2. Step 2: Convert to fraction form
    6,013/9,019.50 = 2,316.88/x
  3. Step 3: Cross multiply
    6,013x = 9,019.50 × 2,316.88
  4. Step 4: Simplify right side
    6,013x = 20,897,099.16
  5. Step 5: Solve for x
    x = 20,897,099.16/6,013
  6. Step 6: Final answer
    x = 3,475.32

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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.