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Finding the Fourth Proportional to 11,446.55, 15,797.76 and 6,411.05

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Solution

The fourth proportional to 11,446.55, 15,797.76 and 6,411.05 is: 8,848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.55 : 15,797.76 = 6,411.05 : x
  2. Step 2: Convert to fraction form
    11,446.55/15,797.76 = 6,411.05/x
  3. Step 3: Cross multiply
    11,446.55x = 15,797.76 × 6,411.05
  4. Step 4: Simplify right side
    11,446.55x = 101,280,229.25
  5. Step 5: Solve for x
    x = 101,280,229.25/11,446.55
  6. Step 6: Final answer
    x = 8,848.10

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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.