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Finding the Fourth Proportional to 9,911.67, 13,678.54 and 5,932.01

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Solution

The fourth proportional to 9,911.67, 13,678.54 and 5,932.01 is: 8,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.67 : 13,678.54 = 5,932.01 : x
  2. Step 2: Convert to fraction form
    9,911.67/13,678.54 = 5,932.01/x
  3. Step 3: Cross multiply
    9,911.67x = 13,678.54 × 5,932.01
  4. Step 4: Simplify right side
    9,911.67x = 81,141,152.84
  5. Step 5: Solve for x
    x = 81,141,152.84/9,911.67
  6. Step 6: Final answer
    x = 8,186.43

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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.