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Finding the Fourth Proportional to 6,658.29, 9,188.91 and 3,826.14

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Solution

The fourth proportional to 6,658.29, 9,188.91 and 3,826.14 is: 5,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.29 : 9,188.91 = 3,826.14 : x
  2. Step 2: Convert to fraction form
    6,658.29/9,188.91 = 3,826.14/x
  3. Step 3: Cross multiply
    6,658.29x = 9,188.91 × 3,826.14
  4. Step 4: Simplify right side
    6,658.29x = 35,158,056.11
  5. Step 5: Solve for x
    x = 35,158,056.11/6,658.29
  6. Step 6: Final answer
    x = 5,280.34

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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.