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Finding the Fourth Proportional to 11,601, 16,009.29 and 6,295.83

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Solution

The fourth proportional to 11,601, 16,009.29 and 6,295.83 is: 8,688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601 : 16,009.29 = 6,295.83 : x
  2. Step 2: Convert to fraction form
    11,601/16,009.29 = 6,295.83/x
  3. Step 3: Cross multiply
    11,601x = 16,009.29 × 6,295.83
  4. Step 4: Simplify right side
    11,601x = 100,791,708.23
  5. Step 5: Solve for x
    x = 100,791,708.23/11,601
  6. Step 6: Final answer
    x = 8,688.19

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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.