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Finding the Fourth Proportional to 11,264.76, 15,543.96 and 6,787.44

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Solution

The fourth proportional to 11,264.76, 15,543.96 and 6,787.44 is: 9,365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.76 : 15,543.96 = 6,787.44 : x
  2. Step 2: Convert to fraction form
    11,264.76/15,543.96 = 6,787.44/x
  3. Step 3: Cross multiply
    11,264.76x = 15,543.96 × 6,787.44
  4. Step 4: Simplify right side
    11,264.76x = 105,503,695.86
  5. Step 5: Solve for x
    x = 105,503,695.86/11,264.76
  6. Step 6: Final answer
    x = 9,365.82

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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.