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Finding the Fourth Proportional to 6,293.62, 9,438.81 and 3,006.10

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Solution

The fourth proportional to 6,293.62, 9,438.81 and 3,006.10 is: 4,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.62 : 9,438.81 = 3,006.10 : x
  2. Step 2: Convert to fraction form
    6,293.62/9,438.81 = 3,006.10/x
  3. Step 3: Cross multiply
    6,293.62x = 9,438.81 × 3,006.10
  4. Step 4: Simplify right side
    6,293.62x = 28,374,006.74
  5. Step 5: Solve for x
    x = 28,374,006.74/6,293.62
  6. Step 6: Final answer
    x = 4,508.38

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1.5x scale

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.