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Finding the Fourth Proportional to 11,446.49, 15,796.95 and 6,411.13

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Solution

The fourth proportional to 11,446.49, 15,796.95 and 6,411.13 is: 8,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.49 : 15,796.95 = 6,411.13 : x
  2. Step 2: Convert to fraction form
    11,446.49/15,796.95 = 6,411.13/x
  3. Step 3: Cross multiply
    11,446.49x = 15,796.95 × 6,411.13
  4. Step 4: Simplify right side
    11,446.49x = 101,276,300.05
  5. Step 5: Solve for x
    x = 101,276,300.05/11,446.49
  6. Step 6: Final answer
    x = 8,847.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.