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Finding the Fourth Proportional to 6,707.12, 10,065.30 and 3,013.50

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Solution

The fourth proportional to 6,707.12, 10,065.30 and 3,013.50 is: 4,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.12 : 10,065.30 = 3,013.50 : x
  2. Step 2: Convert to fraction form
    6,707.12/10,065.30 = 3,013.50/x
  3. Step 3: Cross multiply
    6,707.12x = 10,065.30 × 3,013.50
  4. Step 4: Simplify right side
    6,707.12x = 30,331,781.55
  5. Step 5: Solve for x
    x = 30,331,781.55/6,707.12
  6. Step 6: Final answer
    x = 4,522.33

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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.