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Finding the Fourth Proportional to 11,646.94, 17,476.08 and 5,804.42

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Solution

The fourth proportional to 11,646.94, 17,476.08 and 5,804.42 is: 8,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.94 : 17,476.08 = 5,804.42 : x
  2. Step 2: Convert to fraction form
    11,646.94/17,476.08 = 5,804.42/x
  3. Step 3: Cross multiply
    11,646.94x = 17,476.08 × 5,804.42
  4. Step 4: Simplify right side
    11,646.94x = 101,438,508.27
  5. Step 5: Solve for x
    x = 101,438,508.27/11,646.94
  6. Step 6: Final answer
    x = 8,709.46

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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.