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Finding the Fourth Proportional to 11,907.10, 16,431.90 and 6,602.02

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Solution

The fourth proportional to 11,907.10, 16,431.90 and 6,602.02 is: 9,110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.10 : 16,431.90 = 6,602.02 : x
  2. Step 2: Convert to fraction form
    11,907.10/16,431.90 = 6,602.02/x
  3. Step 3: Cross multiply
    11,907.10x = 16,431.90 × 6,602.02
  4. Step 4: Simplify right side
    11,907.10x = 108,483,732.44
  5. Step 5: Solve for x
    x = 108,483,732.44/11,907.10
  6. Step 6: Final answer
    x = 9,110.84

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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.