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Finding the Fourth Proportional to 6,707, 10,071.86 and 4,371

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Solution

The fourth proportional to 6,707, 10,071.86 and 4,371 is: 6,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707 : 10,071.86 = 4,371 : x
  2. Step 2: Convert to fraction form
    6,707/10,071.86 = 4,371/x
  3. Step 3: Cross multiply
    6,707x = 10,071.86 × 4,371
  4. Step 4: Simplify right side
    6,707x = 44,024,100.06
  5. Step 5: Solve for x
    x = 44,024,100.06/6,707
  6. Step 6: Final answer
    x = 6,563.90

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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.