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Finding the Fourth Proportional to 11,865.14, 17,808.42 and 6,323.12

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Solution

The fourth proportional to 11,865.14, 17,808.42 and 6,323.12 is: 9,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.14 : 17,808.42 = 6,323.12 : x
  2. Step 2: Convert to fraction form
    11,865.14/17,808.42 = 6,323.12/x
  3. Step 3: Cross multiply
    11,865.14x = 17,808.42 × 6,323.12
  4. Step 4: Simplify right side
    11,865.14x = 112,604,776.67
  5. Step 5: Solve for x
    x = 112,604,776.67/11,865.14
  6. Step 6: Final answer
    x = 9,490.39

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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.