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Finding the Fourth Proportional to 11,969.73, 16,513.93 and 6,931.20

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Solution

The fourth proportional to 11,969.73, 16,513.93 and 6,931.20 is: 9,562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.73 : 16,513.93 = 6,931.20 : x
  2. Step 2: Convert to fraction form
    11,969.73/16,513.93 = 6,931.20/x
  3. Step 3: Cross multiply
    11,969.73x = 16,513.93 × 6,931.20
  4. Step 4: Simplify right side
    11,969.73x = 114,461,351.62
  5. Step 5: Solve for x
    x = 114,461,351.62/11,969.73
  6. Step 6: Final answer
    x = 9,562.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.