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Finding the Fourth Proportional to 7,967.62, 11,949.40 and 5,649.40

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Solution

The fourth proportional to 7,967.62, 11,949.40 and 5,649.40 is: 8,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.62 : 11,949.40 = 5,649.40 : x
  2. Step 2: Convert to fraction form
    7,967.62/11,949.40 = 5,649.40/x
  3. Step 3: Cross multiply
    7,967.62x = 11,949.40 × 5,649.40
  4. Step 4: Simplify right side
    7,967.62x = 67,506,940.36
  5. Step 5: Solve for x
    x = 67,506,940.36/7,967.62
  6. Step 6: Final answer
    x = 8,472.66

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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.