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Finding the Fourth Proportional to 8,649.74, 12,972.50 and 3,966.82

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Solution

The fourth proportional to 8,649.74, 12,972.50 and 3,966.82 is: 5,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.74 : 12,972.50 = 3,966.82 : x
  2. Step 2: Convert to fraction form
    8,649.74/12,972.50 = 3,966.82/x
  3. Step 3: Cross multiply
    8,649.74x = 12,972.50 × 3,966.82
  4. Step 4: Simplify right side
    8,649.74x = 51,459,572.45
  5. Step 5: Solve for x
    x = 51,459,572.45/8,649.74
  6. Step 6: Final answer
    x = 5,949.26

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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.