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Finding the Fourth Proportional to 11,897.05, 16,410.49 and 7,653.64

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Solution

The fourth proportional to 11,897.05, 16,410.49 and 7,653.64 is: 10,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.05 : 16,410.49 = 7,653.64 : x
  2. Step 2: Convert to fraction form
    11,897.05/16,410.49 = 7,653.64/x
  3. Step 3: Cross multiply
    11,897.05x = 16,410.49 × 7,653.64
  4. Step 4: Simplify right side
    11,897.05x = 125,599,982.68
  5. Step 5: Solve for x
    x = 125,599,982.68/11,897.05
  6. Step 6: Final answer
    x = 10,557.24

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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.