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Finding the Fourth Proportional to 11,907.68, 17,847.12 and 8,597.84

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Solution

The fourth proportional to 11,907.68, 17,847.12 and 8,597.84 is: 12,886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.68 : 17,847.12 = 8,597.84 : x
  2. Step 2: Convert to fraction form
    11,907.68/17,847.12 = 8,597.84/x
  3. Step 3: Cross multiply
    11,907.68x = 17,847.12 × 8,597.84
  4. Step 4: Simplify right side
    11,907.68x = 153,446,682.22
  5. Step 5: Solve for x
    x = 153,446,682.22/11,907.68
  6. Step 6: Final answer
    x = 12,886.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.