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Finding the Fourth Proportional to 11,447.54, 15,795.78 and 6,411.98

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Solution

The fourth proportional to 11,447.54, 15,795.78 and 6,411.98 is: 8,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.54 : 15,795.78 = 6,411.98 : x
  2. Step 2: Convert to fraction form
    11,447.54/15,795.78 = 6,411.98/x
  3. Step 3: Cross multiply
    11,447.54x = 15,795.78 × 6,411.98
  4. Step 4: Simplify right side
    11,447.54x = 101,282,225.44
  5. Step 5: Solve for x
    x = 101,282,225.44/11,447.54
  6. Step 6: Final answer
    x = 8,847.51

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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.