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Finding the Fourth Proportional to 9,911.94, 13,681.08 and 5,936.16

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Solution

The fourth proportional to 9,911.94, 13,681.08 and 5,936.16 is: 8,193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.94 : 13,681.08 = 5,936.16 : x
  2. Step 2: Convert to fraction form
    9,911.94/13,681.08 = 5,936.16/x
  3. Step 3: Cross multiply
    9,911.94x = 13,681.08 × 5,936.16
  4. Step 4: Simplify right side
    9,911.94x = 81,213,079.85
  5. Step 5: Solve for x
    x = 81,213,079.85/9,911.94
  6. Step 6: Final answer
    x = 8,193.46

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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.