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Finding the Fourth Proportional to 11,884.61, 16,396.10 and 7,635.08

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Solution

The fourth proportional to 11,884.61, 16,396.10 and 7,635.08 is: 10,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.61 : 16,396.10 = 7,635.08 : x
  2. Step 2: Convert to fraction form
    11,884.61/16,396.10 = 7,635.08/x
  3. Step 3: Cross multiply
    11,884.61x = 16,396.10 × 7,635.08
  4. Step 4: Simplify right side
    11,884.61x = 125,185,497.01
  5. Step 5: Solve for x
    x = 125,185,497.01/11,884.61
  6. Step 6: Final answer
    x = 10,533.41

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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.