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Finding the Fourth Proportional to 6,974.55, 10,433.07 and 6,385.14

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Solution

The fourth proportional to 6,974.55, 10,433.07 and 6,385.14 is: 9,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.55 : 10,433.07 = 6,385.14 : x
  2. Step 2: Convert to fraction form
    6,974.55/10,433.07 = 6,385.14/x
  3. Step 3: Cross multiply
    6,974.55x = 10,433.07 × 6,385.14
  4. Step 4: Simplify right side
    6,974.55x = 66,616,612.58
  5. Step 5: Solve for x
    x = 66,616,612.58/6,974.55
  6. Step 6: Final answer
    x = 9,551.39

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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.