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Finding the Fourth Proportional to 11,602.93, 16,006.84 and 7,824.87

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Solution

The fourth proportional to 11,602.93, 16,006.84 and 7,824.87 is: 10,794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.93 : 16,006.84 = 7,824.87 : x
  2. Step 2: Convert to fraction form
    11,602.93/16,006.84 = 7,824.87/x
  3. Step 3: Cross multiply
    11,602.93x = 16,006.84 × 7,824.87
  4. Step 4: Simplify right side
    11,602.93x = 125,251,442.11
  5. Step 5: Solve for x
    x = 125,251,442.11/11,602.93
  6. Step 6: Final answer
    x = 10,794.81

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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.