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Finding the Fourth Proportional to 11,969.93, 17,938.09 and 9,460.08

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Solution

The fourth proportional to 11,969.93, 17,938.09 and 9,460.08 is: 14,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.93 : 17,938.09 = 9,460.08 : x
  2. Step 2: Convert to fraction form
    11,969.93/17,938.09 = 9,460.08/x
  3. Step 3: Cross multiply
    11,969.93x = 17,938.09 × 9,460.08
  4. Step 4: Simplify right side
    11,969.93x = 169,695,719.15
  5. Step 5: Solve for x
    x = 169,695,719.15/11,969.93
  6. Step 6: Final answer
    x = 14,176.84

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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.