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Finding the Fourth Proportional to 11,796.04, 17,689.11 and 6,869.08

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Solution

The fourth proportional to 11,796.04, 17,689.11 and 6,869.08 is: 10,300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.04 : 17,689.11 = 6,869.08 : x
  2. Step 2: Convert to fraction form
    11,796.04/17,689.11 = 6,869.08/x
  3. Step 3: Cross multiply
    11,796.04x = 17,689.11 × 6,869.08
  4. Step 4: Simplify right side
    11,796.04x = 121,507,911.72
  5. Step 5: Solve for x
    x = 121,507,911.72/11,796.04
  6. Step 6: Final answer
    x = 10,300.74

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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.