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Finding the Fourth Proportional to 11,642.00, 17,378.47 and 10,774.67

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Solution

The fourth proportional to 11,642.00, 17,378.47 and 10,774.67 is: 16,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.00 : 17,378.47 = 10,774.67 : x
  2. Step 2: Convert to fraction form
    11,642.00/17,378.47 = 10,774.67/x
  3. Step 3: Cross multiply
    11,642.00x = 17,378.47 × 10,774.67
  4. Step 4: Simplify right side
    11,642.00x = 187,247,205.93
  5. Step 5: Solve for x
    x = 187,247,205.93/11,642.00
  6. Step 6: Final answer
    x = 16,083.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.